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Finding the Fourth Proportional to 5,708.88, 8,564.84 and 2,422.16

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Solution

The fourth proportional to 5,708.88, 8,564.84 and 2,422.16 is: 3,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.88 : 8,564.84 = 2,422.16 : x
  2. Step 2: Convert to fraction form
    5,708.88/8,564.84 = 2,422.16/x
  3. Step 3: Cross multiply
    5,708.88x = 8,564.84 × 2,422.16
  4. Step 4: Simplify right side
    5,708.88x = 20,745,412.85
  5. Step 5: Solve for x
    x = 20,745,412.85/5,708.88
  6. Step 6: Final answer
    x = 3,633.88

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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.