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Finding the Fourth Proportional to 3,702.48, 5,513.94 and 3,542.55

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Solution

The fourth proportional to 3,702.48, 5,513.94 and 3,542.55 is: 5,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.48 : 5,513.94 = 3,542.55 : x
  2. Step 2: Convert to fraction form
    3,702.48/5,513.94 = 3,542.55/x
  3. Step 3: Cross multiply
    3,702.48x = 5,513.94 × 3,542.55
  4. Step 4: Simplify right side
    3,702.48x = 19,533,408.15
  5. Step 5: Solve for x
    x = 19,533,408.15/3,702.48
  6. Step 6: Final answer
    x = 5,275.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.