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Finding the Fourth Proportional to 5,687,897.38, 7,849,326.14 and 3,109,578.28

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Solution

The fourth proportional to 5,687,897.38, 7,849,326.14 and 3,109,578.28 is: 4,291,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687,897.38 : 7,849,326.14 = 3,109,578.28 : x
  2. Step 2: Convert to fraction form
    5,687,897.38/7,849,326.14 = 3,109,578.28/x
  3. Step 3: Cross multiply
    5,687,897.38x = 7,849,326.14 × 3,109,578.28
  4. Step 4: Simplify right side
    5,687,897.38x = 24,408,094,077,580.24
  5. Step 5: Solve for x
    x = 24,408,094,077,580.24/5,687,897.38
  6. Step 6: Final answer
    x = 4,291,233.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.