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Finding the Fourth Proportional to 3,439.87, 5,159.04 and 974.63

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Solution

The fourth proportional to 3,439.87, 5,159.04 and 974.63 is: 1,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.87 : 5,159.04 = 974.63 : x
  2. Step 2: Convert to fraction form
    3,439.87/5,159.04 = 974.63/x
  3. Step 3: Cross multiply
    3,439.87x = 5,159.04 × 974.63
  4. Step 4: Simplify right side
    3,439.87x = 5,028,169.88
  5. Step 5: Solve for x
    x = 5,028,169.88/3,439.87
  6. Step 6: Final answer
    x = 1,461.73

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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.