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Finding the Fourth Proportional to 3,439.60, 5,159.49 and 842.53

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Solution

The fourth proportional to 3,439.60, 5,159.49 and 842.53 is: 1,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.60 : 5,159.49 = 842.53 : x
  2. Step 2: Convert to fraction form
    3,439.60/5,159.49 = 842.53/x
  3. Step 3: Cross multiply
    3,439.60x = 5,159.49 × 842.53
  4. Step 4: Simplify right side
    3,439.60x = 4,347,025.11
  5. Step 5: Solve for x
    x = 4,347,025.11/3,439.60
  6. Step 6: Final answer
    x = 1,263.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.