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Finding the Fourth Proportional to 3,435.57, 5,147.82 and 3,107.52

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Solution

The fourth proportional to 3,435.57, 5,147.82 and 3,107.52 is: 4,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.57 : 5,147.82 = 3,107.52 : x
  2. Step 2: Convert to fraction form
    3,435.57/5,147.82 = 3,107.52/x
  3. Step 3: Cross multiply
    3,435.57x = 5,147.82 × 3,107.52
  4. Step 4: Simplify right side
    3,435.57x = 15,996,953.61
  5. Step 5: Solve for x
    x = 15,996,953.61/3,435.57
  6. Step 6: Final answer
    x = 4,656.27

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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.