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Finding the Fourth Proportional to 4,711.66, 6,499.87 and 2,822.33

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Solution

The fourth proportional to 4,711.66, 6,499.87 and 2,822.33 is: 3,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.66 : 6,499.87 = 2,822.33 : x
  2. Step 2: Convert to fraction form
    4,711.66/6,499.87 = 2,822.33/x
  3. Step 3: Cross multiply
    4,711.66x = 6,499.87 × 2,822.33
  4. Step 4: Simplify right side
    4,711.66x = 18,344,787.29
  5. Step 5: Solve for x
    x = 18,344,787.29/4,711.66
  6. Step 6: Final answer
    x = 3,893.49

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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.