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Finding the Fourth Proportional to 3,436.52, 5,149.86 and 1,703.16

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Solution

The fourth proportional to 3,436.52, 5,149.86 and 1,703.16 is: 2,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.52 : 5,149.86 = 1,703.16 : x
  2. Step 2: Convert to fraction form
    3,436.52/5,149.86 = 1,703.16/x
  3. Step 3: Cross multiply
    3,436.52x = 5,149.86 × 1,703.16
  4. Step 4: Simplify right side
    3,436.52x = 8,771,035.56
  5. Step 5: Solve for x
    x = 8,771,035.56/3,436.52
  6. Step 6: Final answer
    x = 2,552.30

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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.