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Finding the Fourth Proportional to 5,695.72, 8,544.80 and 2,408.88

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Solution

The fourth proportional to 5,695.72, 8,544.80 and 2,408.88 is: 3,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.72 : 8,544.80 = 2,408.88 : x
  2. Step 2: Convert to fraction form
    5,695.72/8,544.80 = 2,408.88/x
  3. Step 3: Cross multiply
    5,695.72x = 8,544.80 × 2,408.88
  4. Step 4: Simplify right side
    5,695.72x = 20,583,397.82
  5. Step 5: Solve for x
    x = 20,583,397.82/5,695.72
  6. Step 6: Final answer
    x = 3,613.84

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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.