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Finding the Fourth Proportional to 5,897.38, 8,851.14 and 3,126

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Solution

The fourth proportional to 5,897.38, 8,851.14 and 3,126 is: 4,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.38 : 8,851.14 = 3,126 : x
  2. Step 2: Convert to fraction form
    5,897.38/8,851.14 = 3,126/x
  3. Step 3: Cross multiply
    5,897.38x = 8,851.14 × 3,126
  4. Step 4: Simplify right side
    5,897.38x = 27,668,663.64
  5. Step 5: Solve for x
    x = 27,668,663.64/5,897.38
  6. Step 6: Final answer
    x = 4,691.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.