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Finding the Fourth Proportional to 3,642.06, 5,025.96 and 2,149.65

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Solution

The fourth proportional to 3,642.06, 5,025.96 and 2,149.65 is: 2,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.06 : 5,025.96 = 2,149.65 : x
  2. Step 2: Convert to fraction form
    3,642.06/5,025.96 = 2,149.65/x
  3. Step 3: Cross multiply
    3,642.06x = 5,025.96 × 2,149.65
  4. Step 4: Simplify right side
    3,642.06x = 10,804,054.91
  5. Step 5: Solve for x
    x = 10,804,054.91/3,642.06
  6. Step 6: Final answer
    x = 2,966.47

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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.