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Finding the Fourth Proportional to 3,702.07, 5,100.17 and 2,580.97

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Solution

The fourth proportional to 3,702.07, 5,100.17 and 2,580.97 is: 3,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.07 : 5,100.17 = 2,580.97 : x
  2. Step 2: Convert to fraction form
    3,702.07/5,100.17 = 2,580.97/x
  3. Step 3: Cross multiply
    3,702.07x = 5,100.17 × 2,580.97
  4. Step 4: Simplify right side
    3,702.07x = 13,163,385.76
  5. Step 5: Solve for x
    x = 13,163,385.76/3,702.07
  6. Step 6: Final answer
    x = 3,555.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.