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Finding the Fourth Proportional to 3,207.52, 4,428.72 and 2,770.16

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Solution

The fourth proportional to 3,207.52, 4,428.72 and 2,770.16 is: 3,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.52 : 4,428.72 = 2,770.16 : x
  2. Step 2: Convert to fraction form
    3,207.52/4,428.72 = 2,770.16/x
  3. Step 3: Cross multiply
    3,207.52x = 4,428.72 × 2,770.16
  4. Step 4: Simplify right side
    3,207.52x = 12,268,263.00
  5. Step 5: Solve for x
    x = 12,268,263.00/3,207.52
  6. Step 6: Final answer
    x = 3,824.84

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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.