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Finding the Fourth Proportional to 5,159.02, 7,116.82 and 3,267.43

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Solution

The fourth proportional to 5,159.02, 7,116.82 and 3,267.43 is: 4,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.02 : 7,116.82 = 3,267.43 : x
  2. Step 2: Convert to fraction form
    5,159.02/7,116.82 = 3,267.43/x
  3. Step 3: Cross multiply
    5,159.02x = 7,116.82 × 3,267.43
  4. Step 4: Simplify right side
    5,159.02x = 23,253,711.17
  5. Step 5: Solve for x
    x = 23,253,711.17/5,159.02
  6. Step 6: Final answer
    x = 4,507.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.