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Finding the Fourth Proportional to 5,952.96, 8,205.57 and 4,691.99

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Solution

The fourth proportional to 5,952.96, 8,205.57 and 4,691.99 is: 6,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.96 : 8,205.57 = 4,691.99 : x
  2. Step 2: Convert to fraction form
    5,952.96/8,205.57 = 4,691.99/x
  3. Step 3: Cross multiply
    5,952.96x = 8,205.57 × 4,691.99
  4. Step 4: Simplify right side
    5,952.96x = 38,500,472.90
  5. Step 5: Solve for x
    x = 38,500,472.90/5,952.96
  6. Step 6: Final answer
    x = 6,467.45

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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.