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Finding the Fourth Proportional to 3,439.80, 5,159.64 and 842.76

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Solution

The fourth proportional to 3,439.80, 5,159.64 and 842.76 is: 1,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.80 : 5,159.64 = 842.76 : x
  2. Step 2: Convert to fraction form
    3,439.80/5,159.64 = 842.76/x
  3. Step 3: Cross multiply
    3,439.80x = 5,159.64 × 842.76
  4. Step 4: Simplify right side
    3,439.80x = 4,348,338.21
  5. Step 5: Solve for x
    x = 4,348,338.21/3,439.80
  6. Step 6: Final answer
    x = 1,264.13

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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.