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Finding the Fourth Proportional to 3,432.11, 5,148.14 and 835.04

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Solution

The fourth proportional to 3,432.11, 5,148.14 and 835.04 is: 1,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.11 : 5,148.14 = 835.04 : x
  2. Step 2: Convert to fraction form
    3,432.11/5,148.14 = 835.04/x
  3. Step 3: Cross multiply
    3,432.11x = 5,148.14 × 835.04
  4. Step 4: Simplify right side
    3,432.11x = 4,298,872.91
  5. Step 5: Solve for x
    x = 4,298,872.91/3,432.11
  6. Step 6: Final answer
    x = 1,252.55

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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.