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Finding the Fourth Proportional to 5,666.24, 8,496 and 2,156.52

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Solution

The fourth proportional to 5,666.24, 8,496 and 2,156.52 is: 3,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.24 : 8,496 = 2,156.52 : x
  2. Step 2: Convert to fraction form
    5,666.24/8,496 = 2,156.52/x
  3. Step 3: Cross multiply
    5,666.24x = 8,496 × 2,156.52
  4. Step 4: Simplify right side
    5,666.24x = 18,321,793.92
  5. Step 5: Solve for x
    x = 18,321,793.92/5,666.24
  6. Step 6: Final answer
    x = 3,233.50

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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.