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Finding the Fourth Proportional to 6,098.84, 8,416.49 and 3,304.34

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Solution

The fourth proportional to 6,098.84, 8,416.49 and 3,304.34 is: 4,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.84 : 8,416.49 = 3,304.34 : x
  2. Step 2: Convert to fraction form
    6,098.84/8,416.49 = 3,304.34/x
  3. Step 3: Cross multiply
    6,098.84x = 8,416.49 × 3,304.34
  4. Step 4: Simplify right side
    6,098.84x = 27,810,944.57
  5. Step 5: Solve for x
    x = 27,810,944.57/6,098.84
  6. Step 6: Final answer
    x = 4,560.04

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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.