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Finding the Fourth Proportional to 3,425.68, 5,138.16 and 1,117.12

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Solution

The fourth proportional to 3,425.68, 5,138.16 and 1,117.12 is: 1,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.68 : 5,138.16 = 1,117.12 : x
  2. Step 2: Convert to fraction form
    3,425.68/5,138.16 = 1,117.12/x
  3. Step 3: Cross multiply
    3,425.68x = 5,138.16 × 1,117.12
  4. Step 4: Simplify right side
    3,425.68x = 5,739,941.30
  5. Step 5: Solve for x
    x = 5,739,941.30/3,425.68
  6. Step 6: Final answer
    x = 1,675.56

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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.