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Finding the Fourth Proportional to 3,702.10, 5,542.35 and 3,313.30

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Solution

The fourth proportional to 3,702.10, 5,542.35 and 3,313.30 is: 4,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.10 : 5,542.35 = 3,313.30 : x
  2. Step 2: Convert to fraction form
    3,702.10/5,542.35 = 3,313.30/x
  3. Step 3: Cross multiply
    3,702.10x = 5,542.35 × 3,313.30
  4. Step 4: Simplify right side
    3,702.10x = 18,363,468.26
  5. Step 5: Solve for x
    x = 18,363,468.26/3,702.10
  6. Step 6: Final answer
    x = 4,960.28

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