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Finding the Fourth Proportional to 3,702.02, 5,098.40 and 3,690.48

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Solution

The fourth proportional to 3,702.02, 5,098.40 and 3,690.48 is: 5,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.02 : 5,098.40 = 3,690.48 : x
  2. Step 2: Convert to fraction form
    3,702.02/5,098.40 = 3,690.48/x
  3. Step 3: Cross multiply
    3,702.02x = 5,098.40 × 3,690.48
  4. Step 4: Simplify right side
    3,702.02x = 18,815,543.23
  5. Step 5: Solve for x
    x = 18,815,543.23/3,702.02
  6. Step 6: Final answer
    x = 5,082.51

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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.