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Finding the Fourth Proportional to 4,137.48, 5,702.40 and 3,654.72

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Solution

The fourth proportional to 4,137.48, 5,702.40 and 3,654.72 is: 5,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.48 : 5,702.40 = 3,654.72 : x
  2. Step 2: Convert to fraction form
    4,137.48/5,702.40 = 3,654.72/x
  3. Step 3: Cross multiply
    4,137.48x = 5,702.40 × 3,654.72
  4. Step 4: Simplify right side
    4,137.48x = 20,840,675.33
  5. Step 5: Solve for x
    x = 20,840,675.33/4,137.48
  6. Step 6: Final answer
    x = 5,037.05

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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.