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Finding the Fourth Proportional to 5,621.92, 8,434.80 and 2,884

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Solution

The fourth proportional to 5,621.92, 8,434.80 and 2,884 is: 4,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.92 : 8,434.80 = 2,884 : x
  2. Step 2: Convert to fraction form
    5,621.92/8,434.80 = 2,884/x
  3. Step 3: Cross multiply
    5,621.92x = 8,434.80 × 2,884
  4. Step 4: Simplify right side
    5,621.92x = 24,325,963.20
  5. Step 5: Solve for x
    x = 24,325,963.20/5,621.92
  6. Step 6: Final answer
    x = 4,326.98

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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.