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Finding the Fourth Proportional to 4,374.68, 6,546.60 and 2,732.00

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Solution

The fourth proportional to 4,374.68, 6,546.60 and 2,732.00 is: 4,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.68 : 6,546.60 = 2,732.00 : x
  2. Step 2: Convert to fraction form
    4,374.68/6,546.60 = 2,732.00/x
  3. Step 3: Cross multiply
    4,374.68x = 6,546.60 × 2,732.00
  4. Step 4: Simplify right side
    4,374.68x = 17,885,278.47
  5. Step 5: Solve for x
    x = 17,885,278.47/4,374.68
  6. Step 6: Final answer
    x = 4,088.37

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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.