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Finding the Fourth Proportional to 5,113.76, 7,672.08 and 4,232.13

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Solution

The fourth proportional to 5,113.76, 7,672.08 and 4,232.13 is: 6,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.76 : 7,672.08 = 4,232.13 : x
  2. Step 2: Convert to fraction form
    5,113.76/7,672.08 = 4,232.13/x
  3. Step 3: Cross multiply
    5,113.76x = 7,672.08 × 4,232.13
  4. Step 4: Simplify right side
    5,113.76x = 32,469,239.93
  5. Step 5: Solve for x
    x = 32,469,239.93/5,113.76
  6. Step 6: Final answer
    x = 6,349.39

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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.