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Finding the Fourth Proportional to 6,159.35, 9,242.12 and 2,872.70

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Solution

The fourth proportional to 6,159.35, 9,242.12 and 2,872.70 is: 4,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.35 : 9,242.12 = 2,872.70 : x
  2. Step 2: Convert to fraction form
    6,159.35/9,242.12 = 2,872.70/x
  3. Step 3: Cross multiply
    6,159.35x = 9,242.12 × 2,872.70
  4. Step 4: Simplify right side
    6,159.35x = 26,549,838.12
  5. Step 5: Solve for x
    x = 26,549,838.12/6,159.35
  6. Step 6: Final answer
    x = 4,310.49

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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.