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Finding the Fourth Proportional to 4,512.91, 6,230.75 and 4,040.00

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Solution

The fourth proportional to 4,512.91, 6,230.75 and 4,040.00 is: 5,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.91 : 6,230.75 = 4,040.00 : x
  2. Step 2: Convert to fraction form
    4,512.91/6,230.75 = 4,040.00/x
  3. Step 3: Cross multiply
    4,512.91x = 6,230.75 × 4,040.00
  4. Step 4: Simplify right side
    4,512.91x = 25,172,178.65
  5. Step 5: Solve for x
    x = 25,172,178.65/4,512.91
  6. Step 6: Final answer
    x = 5,577.82

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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.