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Finding the Fourth Proportional to 4,754.90, 6,566.47 and 3,918.38

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Solution

The fourth proportional to 4,754.90, 6,566.47 and 3,918.38 is: 5,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.90 : 6,566.47 = 3,918.38 : x
  2. Step 2: Convert to fraction form
    4,754.90/6,566.47 = 3,918.38/x
  3. Step 3: Cross multiply
    4,754.90x = 6,566.47 × 3,918.38
  4. Step 4: Simplify right side
    4,754.90x = 25,729,882.09
  5. Step 5: Solve for x
    x = 25,729,882.09/4,754.90
  6. Step 6: Final answer
    x = 5,411.23

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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.