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Finding the Fourth Proportional to 5,882.38, 8,823.72 and 1,722.52

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Solution

The fourth proportional to 5,882.38, 8,823.72 and 1,722.52 is: 2,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.38 : 8,823.72 = 1,722.52 : x
  2. Step 2: Convert to fraction form
    5,882.38/8,823.72 = 1,722.52/x
  3. Step 3: Cross multiply
    5,882.38x = 8,823.72 × 1,722.52
  4. Step 4: Simplify right side
    5,882.38x = 15,199,034.17
  5. Step 5: Solve for x
    x = 15,199,034.17/5,882.38
  6. Step 6: Final answer
    x = 2,583.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.