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Finding the Fourth Proportional to 5,882.56, 8,826 and 2,420.08

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Solution

The fourth proportional to 5,882.56, 8,826 and 2,420.08 is: 3,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.56 : 8,826 = 2,420.08 : x
  2. Step 2: Convert to fraction form
    5,882.56/8,826 = 2,420.08/x
  3. Step 3: Cross multiply
    5,882.56x = 8,826 × 2,420.08
  4. Step 4: Simplify right side
    5,882.56x = 21,359,626.08
  5. Step 5: Solve for x
    x = 21,359,626.08/5,882.56
  6. Step 6: Final answer
    x = 3,631.01

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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.