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Finding the Fourth Proportional to 5,437.66, 8,159.22 and 2,518

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Solution

The fourth proportional to 5,437.66, 8,159.22 and 2,518 is: 3,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.66 : 8,159.22 = 2,518 : x
  2. Step 2: Convert to fraction form
    5,437.66/8,159.22 = 2,518/x
  3. Step 3: Cross multiply
    5,437.66x = 8,159.22 × 2,518
  4. Step 4: Simplify right side
    5,437.66x = 20,544,915.96
  5. Step 5: Solve for x
    x = 20,544,915.96/5,437.66
  6. Step 6: Final answer
    x = 3,778.26

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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.