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Finding the Fourth Proportional to 5,681.46, 7,839.22 and 3,323.15

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Solution

The fourth proportional to 5,681.46, 7,839.22 and 3,323.15 is: 4,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.46 : 7,839.22 = 3,323.15 : x
  2. Step 2: Convert to fraction form
    5,681.46/7,839.22 = 3,323.15/x
  3. Step 3: Cross multiply
    5,681.46x = 7,839.22 × 3,323.15
  4. Step 4: Simplify right side
    5,681.46x = 26,050,856.44
  5. Step 5: Solve for x
    x = 26,050,856.44/5,681.46
  6. Step 6: Final answer
    x = 4,585.24

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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.