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Finding the Fourth Proportional to 4,777.31, 6,592.69 and 2,681.44

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Solution

The fourth proportional to 4,777.31, 6,592.69 and 2,681.44 is: 3,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.31 : 6,592.69 = 2,681.44 : x
  2. Step 2: Convert to fraction form
    4,777.31/6,592.69 = 2,681.44/x
  3. Step 3: Cross multiply
    4,777.31x = 6,592.69 × 2,681.44
  4. Step 4: Simplify right side
    4,777.31x = 17,677,892.90
  5. Step 5: Solve for x
    x = 17,677,892.90/4,777.31
  6. Step 6: Final answer
    x = 3,700.38

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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.