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Finding the Fourth Proportional to 5,882.40, 8,817.12 and 2,417.76

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Solution

The fourth proportional to 5,882.40, 8,817.12 and 2,417.76 is: 3,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.40 : 8,817.12 = 2,417.76 : x
  2. Step 2: Convert to fraction form
    5,882.40/8,817.12 = 2,417.76/x
  3. Step 3: Cross multiply
    5,882.40x = 8,817.12 × 2,417.76
  4. Step 4: Simplify right side
    5,882.40x = 21,317,680.05
  5. Step 5: Solve for x
    x = 21,317,680.05/5,882.40
  6. Step 6: Final answer
    x = 3,623.98

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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.