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Finding the Fourth Proportional to 3,115.64, 4,675.49 and 2,704.16

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Solution

The fourth proportional to 3,115.64, 4,675.49 and 2,704.16 is: 4,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.64 : 4,675.49 = 2,704.16 : x
  2. Step 2: Convert to fraction form
    3,115.64/4,675.49 = 2,704.16/x
  3. Step 3: Cross multiply
    3,115.64x = 4,675.49 × 2,704.16
  4. Step 4: Simplify right side
    3,115.64x = 12,643,273.04
  5. Step 5: Solve for x
    x = 12,643,273.04/3,115.64
  6. Step 6: Final answer
    x = 4,058.00

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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.