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Finding the Fourth Proportional to 5,661.32, 7,812.52 and 3,143.44

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Solution

The fourth proportional to 5,661.32, 7,812.52 and 3,143.44 is: 4,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.32 : 7,812.52 = 3,143.44 : x
  2. Step 2: Convert to fraction form
    5,661.32/7,812.52 = 3,143.44/x
  3. Step 3: Cross multiply
    5,661.32x = 7,812.52 × 3,143.44
  4. Step 4: Simplify right side
    5,661.32x = 24,558,187.87
  5. Step 5: Solve for x
    x = 24,558,187.87/5,661.32
  6. Step 6: Final answer
    x = 4,337.89

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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.