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Finding the Fourth Proportional to 3,438.39, 5,158.17 and 1,129.89

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Solution

The fourth proportional to 3,438.39, 5,158.17 and 1,129.89 is: 1,695.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.39 : 5,158.17 = 1,129.89 : x
  2. Step 2: Convert to fraction form
    3,438.39/5,158.17 = 1,129.89/x
  3. Step 3: Cross multiply
    3,438.39x = 5,158.17 × 1,129.89
  4. Step 4: Simplify right side
    3,438.39x = 5,828,164.70
  5. Step 5: Solve for x
    x = 5,828,164.70/3,438.39
  6. Step 6: Final answer
    x = 1,695.03

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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.