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Finding the Fourth Proportional to 4,217.60, 5,822.16 and 3,098.72

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Solution

The fourth proportional to 4,217.60, 5,822.16 and 3,098.72 is: 4,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.60 : 5,822.16 = 3,098.72 : x
  2. Step 2: Convert to fraction form
    4,217.60/5,822.16 = 3,098.72/x
  3. Step 3: Cross multiply
    4,217.60x = 5,822.16 × 3,098.72
  4. Step 4: Simplify right side
    4,217.60x = 18,041,243.64
  5. Step 5: Solve for x
    x = 18,041,243.64/4,217.60
  6. Step 6: Final answer
    x = 4,277.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.