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Finding the Fourth Proportional to 3,702.66, 5,557.23 and 3,125.94

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Solution

The fourth proportional to 3,702.66, 5,557.23 and 3,125.94 is: 4,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.66 : 5,557.23 = 3,125.94 : x
  2. Step 2: Convert to fraction form
    3,702.66/5,557.23 = 3,125.94/x
  3. Step 3: Cross multiply
    3,702.66x = 5,557.23 × 3,125.94
  4. Step 4: Simplify right side
    3,702.66x = 17,371,567.55
  5. Step 5: Solve for x
    x = 17,371,567.55/3,702.66
  6. Step 6: Final answer
    x = 4,691.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.