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Finding the Fourth Proportional to 5,062, 7,591.74 and 4,240.66

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Solution

The fourth proportional to 5,062, 7,591.74 and 4,240.66 is: 6,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062 : 7,591.74 = 4,240.66 : x
  2. Step 2: Convert to fraction form
    5,062/7,591.74 = 4,240.66/x
  3. Step 3: Cross multiply
    5,062x = 7,591.74 × 4,240.66
  4. Step 4: Simplify right side
    5,062x = 32,193,988.15
  5. Step 5: Solve for x
    x = 32,193,988.15/5,062
  6. Step 6: Final answer
    x = 6,359.93

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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.