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Finding the Fourth Proportional to 5,882.36, 8,823.23 and 1,499.55

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Solution

The fourth proportional to 5,882.36, 8,823.23 and 1,499.55 is: 2,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.36 : 8,823.23 = 1,499.55 : x
  2. Step 2: Convert to fraction form
    5,882.36/8,823.23 = 1,499.55/x
  3. Step 3: Cross multiply
    5,882.36x = 8,823.23 × 1,499.55
  4. Step 4: Simplify right side
    5,882.36x = 13,230,839.58
  5. Step 5: Solve for x
    x = 13,230,839.58/5,882.36
  6. Step 6: Final answer
    x = 2,249.24

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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.