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Finding the Fourth Proportional to 3,932.64, 5,427.52 and 2,360.40

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Solution

The fourth proportional to 3,932.64, 5,427.52 and 2,360.40 is: 3,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.64 : 5,427.52 = 2,360.40 : x
  2. Step 2: Convert to fraction form
    3,932.64/5,427.52 = 2,360.40/x
  3. Step 3: Cross multiply
    3,932.64x = 5,427.52 × 2,360.40
  4. Step 4: Simplify right side
    3,932.64x = 12,811,118.21
  5. Step 5: Solve for x
    x = 12,811,118.21/3,932.64
  6. Step 6: Final answer
    x = 3,257.64

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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.