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Finding the Fourth Proportional to 3,959.16, 5,470.86 and 3,767.00

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Solution

The fourth proportional to 3,959.16, 5,470.86 and 3,767.00 is: 5,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.16 : 5,470.86 = 3,767.00 : x
  2. Step 2: Convert to fraction form
    3,959.16/5,470.86 = 3,767.00/x
  3. Step 3: Cross multiply
    3,959.16x = 5,470.86 × 3,767.00
  4. Step 4: Simplify right side
    3,959.16x = 20,608,702.27
  5. Step 5: Solve for x
    x = 20,608,702.27/3,959.16
  6. Step 6: Final answer
    x = 5,205.32

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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.