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Finding the Fourth Proportional to 3,833.65, 5,290.92 and 2,341.25

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Solution

The fourth proportional to 3,833.65, 5,290.92 and 2,341.25 is: 3,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.65 : 5,290.92 = 2,341.25 : x
  2. Step 2: Convert to fraction form
    3,833.65/5,290.92 = 2,341.25/x
  3. Step 3: Cross multiply
    3,833.65x = 5,290.92 × 2,341.25
  4. Step 4: Simplify right side
    3,833.65x = 12,387,359.84
  5. Step 5: Solve for x
    x = 12,387,359.84/3,833.65
  6. Step 6: Final answer
    x = 3,231.22

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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.