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Finding the Fourth Proportional to 5,661.23, 7,812.96 and 3,144.13

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Solution

The fourth proportional to 5,661.23, 7,812.96 and 3,144.13 is: 4,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.23 : 7,812.96 = 3,144.13 : x
  2. Step 2: Convert to fraction form
    5,661.23/7,812.96 = 3,144.13/x
  3. Step 3: Cross multiply
    5,661.23x = 7,812.96 × 3,144.13
  4. Step 4: Simplify right side
    5,661.23x = 24,564,961.92
  5. Step 5: Solve for x
    x = 24,564,961.92/5,661.23
  6. Step 6: Final answer
    x = 4,339.16

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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.