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Finding the Fourth Proportional to 3,438.91, 5,151.48 and 1,587.52

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Solution

The fourth proportional to 3,438.91, 5,151.48 and 1,587.52 is: 2,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.91 : 5,151.48 = 1,587.52 : x
  2. Step 2: Convert to fraction form
    3,438.91/5,151.48 = 1,587.52/x
  3. Step 3: Cross multiply
    3,438.91x = 5,151.48 × 1,587.52
  4. Step 4: Simplify right side
    3,438.91x = 8,178,077.53
  5. Step 5: Solve for x
    x = 8,178,077.53/3,438.91
  6. Step 6: Final answer
    x = 2,378.10

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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.