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Finding the Fourth Proportional to 4,972.52, 6,862.02 and 3,702.08

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Solution

The fourth proportional to 4,972.52, 6,862.02 and 3,702.08 is: 5,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.52 : 6,862.02 = 3,702.08 : x
  2. Step 2: Convert to fraction form
    4,972.52/6,862.02 = 3,702.08/x
  3. Step 3: Cross multiply
    4,972.52x = 6,862.02 × 3,702.08
  4. Step 4: Simplify right side
    4,972.52x = 25,403,694.18
  5. Step 5: Solve for x
    x = 25,403,694.18/4,972.52
  6. Step 6: Final answer
    x = 5,108.82

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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.