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Finding the Fourth Proportional to 3,966.35, 5,471.72 and 2,788.12

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Solution

The fourth proportional to 3,966.35, 5,471.72 and 2,788.12 is: 3,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.35 : 5,471.72 = 2,788.12 : x
  2. Step 2: Convert to fraction form
    3,966.35/5,471.72 = 2,788.12/x
  3. Step 3: Cross multiply
    3,966.35x = 5,471.72 × 2,788.12
  4. Step 4: Simplify right side
    3,966.35x = 15,255,784.61
  5. Step 5: Solve for x
    x = 15,255,784.61/3,966.35
  6. Step 6: Final answer
    x = 3,846.30

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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.