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Finding the Fourth Proportional to 5,842.06, 8,061.74 and 3,324.12

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Solution

The fourth proportional to 5,842.06, 8,061.74 and 3,324.12 is: 4,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.06 : 8,061.74 = 3,324.12 : x
  2. Step 2: Convert to fraction form
    5,842.06/8,061.74 = 3,324.12/x
  3. Step 3: Cross multiply
    5,842.06x = 8,061.74 × 3,324.12
  4. Step 4: Simplify right side
    5,842.06x = 26,798,171.90
  5. Step 5: Solve for x
    x = 26,798,171.90/5,842.06
  6. Step 6: Final answer
    x = 4,587.11

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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.