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Finding the Fourth Proportional to 3,538.92, 4,884.12 and 2,475.66

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Solution

The fourth proportional to 3,538.92, 4,884.12 and 2,475.66 is: 3,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.92 : 4,884.12 = 2,475.66 : x
  2. Step 2: Convert to fraction form
    3,538.92/4,884.12 = 2,475.66/x
  3. Step 3: Cross multiply
    3,538.92x = 4,884.12 × 2,475.66
  4. Step 4: Simplify right side
    3,538.92x = 12,091,420.52
  5. Step 5: Solve for x
    x = 12,091,420.52/3,538.92
  6. Step 6: Final answer
    x = 3,416.70

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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.