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Finding the Fourth Proportional to 4,757.52, 6,566.14 and 2,989.38

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Solution

The fourth proportional to 4,757.52, 6,566.14 and 2,989.38 is: 4,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.52 : 6,566.14 = 2,989.38 : x
  2. Step 2: Convert to fraction form
    4,757.52/6,566.14 = 2,989.38/x
  3. Step 3: Cross multiply
    4,757.52x = 6,566.14 × 2,989.38
  4. Step 4: Simplify right side
    4,757.52x = 19,628,687.59
  5. Step 5: Solve for x
    x = 19,628,687.59/4,757.52
  6. Step 6: Final answer
    x = 4,125.82

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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.