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Finding the Fourth Proportional to 4,016.59, 5,546.43 and 2,527

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Solution

The fourth proportional to 4,016.59, 5,546.43 and 2,527 is: 3,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.59 : 5,546.43 = 2,527 : x
  2. Step 2: Convert to fraction form
    4,016.59/5,546.43 = 2,527/x
  3. Step 3: Cross multiply
    4,016.59x = 5,546.43 × 2,527
  4. Step 4: Simplify right side
    4,016.59x = 14,015,828.61
  5. Step 5: Solve for x
    x = 14,015,828.61/4,016.59
  6. Step 6: Final answer
    x = 3,489.48

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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.