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Finding the Fourth Proportional to 6,098.67, 8,416.40 and 3,446.37

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Solution

The fourth proportional to 6,098.67, 8,416.40 and 3,446.37 is: 4,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.67 : 8,416.40 = 3,446.37 : x
  2. Step 2: Convert to fraction form
    6,098.67/8,416.40 = 3,446.37/x
  3. Step 3: Cross multiply
    6,098.67x = 8,416.40 × 3,446.37
  4. Step 4: Simplify right side
    6,098.67x = 29,006,011.24
  5. Step 5: Solve for x
    x = 29,006,011.24/6,098.67
  6. Step 6: Final answer
    x = 4,756.12

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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.