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Finding the Fourth Proportional to 5,882.07, 8,823.06 and 1,499.88

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Solution

The fourth proportional to 5,882.07, 8,823.06 and 1,499.88 is: 2,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.07 : 8,823.06 = 1,499.88 : x
  2. Step 2: Convert to fraction form
    5,882.07/8,823.06 = 1,499.88/x
  3. Step 3: Cross multiply
    5,882.07x = 8,823.06 × 1,499.88
  4. Step 4: Simplify right side
    5,882.07x = 13,233,531.23
  5. Step 5: Solve for x
    x = 13,233,531.23/5,882.07
  6. Step 6: Final answer
    x = 2,249.81

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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.