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Finding the Fourth Proportional to 6,098.56, 8,416.17 and 3,445.91

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Solution

The fourth proportional to 6,098.56, 8,416.17 and 3,445.91 is: 4,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.56 : 8,416.17 = 3,445.91 : x
  2. Step 2: Convert to fraction form
    6,098.56/8,416.17 = 3,445.91/x
  3. Step 3: Cross multiply
    6,098.56x = 8,416.17 × 3,445.91
  4. Step 4: Simplify right side
    6,098.56x = 29,001,364.36
  5. Step 5: Solve for x
    x = 29,001,364.36/6,098.56
  6. Step 6: Final answer
    x = 4,755.44

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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.