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Finding the Fourth Proportional to 4,164.35, 6,248.12 and 2,084.42

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Solution

The fourth proportional to 4,164.35, 6,248.12 and 2,084.42 is: 3,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.35 : 6,248.12 = 2,084.42 : x
  2. Step 2: Convert to fraction form
    4,164.35/6,248.12 = 2,084.42/x
  3. Step 3: Cross multiply
    4,164.35x = 6,248.12 × 2,084.42
  4. Step 4: Simplify right side
    4,164.35x = 13,023,706.29
  5. Step 5: Solve for x
    x = 13,023,706.29/4,164.35
  6. Step 6: Final answer
    x = 3,127.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.