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Finding the Fourth Proportional to 5,656,381.74, 7,805,969.64 and 3,078,225.90

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Solution

The fourth proportional to 5,656,381.74, 7,805,969.64 and 3,078,225.90 is: 4,248,040.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656,381.74 : 7,805,969.64 = 3,078,225.90 : x
  2. Step 2: Convert to fraction form
    5,656,381.74/7,805,969.64 = 3,078,225.90/x
  3. Step 3: Cross multiply
    5,656,381.74x = 7,805,969.64 × 3,078,225.90
  4. Step 4: Simplify right side
    5,656,381.74x = 24,028,537,920,461.68
  5. Step 5: Solve for x
    x = 24,028,537,920,461.68/5,656,381.74
  6. Step 6: Final answer
    x = 4,248,040.36

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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.