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Finding the Fourth Proportional to 3,438.60, 5,158.68 and 1,129.56

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Solution

The fourth proportional to 3,438.60, 5,158.68 and 1,129.56 is: 1,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.60 : 5,158.68 = 1,129.56 : x
  2. Step 2: Convert to fraction form
    3,438.60/5,158.68 = 1,129.56/x
  3. Step 3: Cross multiply
    3,438.60x = 5,158.68 × 1,129.56
  4. Step 4: Simplify right side
    3,438.60x = 5,827,038.58
  5. Step 5: Solve for x
    x = 5,827,038.58/3,438.60
  6. Step 6: Final answer
    x = 1,694.60

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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.