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Finding the Fourth Proportional to 3,452.64, 5,145.65 and 3,447.15

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Solution

The fourth proportional to 3,452.64, 5,145.65 and 3,447.15 is: 5,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.64 : 5,145.65 = 3,447.15 : x
  2. Step 2: Convert to fraction form
    3,452.64/5,145.65 = 3,447.15/x
  3. Step 3: Cross multiply
    3,452.64x = 5,145.65 × 3,447.15
  4. Step 4: Simplify right side
    3,452.64x = 17,737,810.16
  5. Step 5: Solve for x
    x = 17,737,810.16/3,452.64
  6. Step 6: Final answer
    x = 5,137.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.