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Finding the Fourth Proportional to 5,882.18, 8,823.30 and 1,499.64

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Solution

The fourth proportional to 5,882.18, 8,823.30 and 1,499.64 is: 2,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.18 : 8,823.30 = 1,499.64 : x
  2. Step 2: Convert to fraction form
    5,882.18/8,823.30 = 1,499.64/x
  3. Step 3: Cross multiply
    5,882.18x = 8,823.30 × 1,499.64
  4. Step 4: Simplify right side
    5,882.18x = 13,231,773.61
  5. Step 5: Solve for x
    x = 13,231,773.61/5,882.18
  6. Step 6: Final answer
    x = 2,249.47

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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.