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Finding the Fourth Proportional to 6,098.72, 8,417.96 and 3,580.92

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Solution

The fourth proportional to 6,098.72, 8,417.96 and 3,580.92 is: 4,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.72 : 8,417.96 = 3,580.92 : x
  2. Step 2: Convert to fraction form
    6,098.72/8,417.96 = 3,580.92/x
  3. Step 3: Cross multiply
    6,098.72x = 8,417.96 × 3,580.92
  4. Step 4: Simplify right side
    6,098.72x = 30,144,023.42
  5. Step 5: Solve for x
    x = 30,144,023.42/6,098.72
  6. Step 6: Final answer
    x = 4,942.68

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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.