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Finding the Fourth Proportional to 3,407.65, 5,101.95 and 1,842.04

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Solution

The fourth proportional to 3,407.65, 5,101.95 and 1,842.04 is: 2,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.65 : 5,101.95 = 1,842.04 : x
  2. Step 2: Convert to fraction form
    3,407.65/5,101.95 = 1,842.04/x
  3. Step 3: Cross multiply
    3,407.65x = 5,101.95 × 1,842.04
  4. Step 4: Simplify right side
    3,407.65x = 9,398,009.26
  5. Step 5: Solve for x
    x = 9,398,009.26/3,407.65
  6. Step 6: Final answer
    x = 2,757.91

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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.