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Finding the Fourth Proportional to 4,631.64, 6,947.43 and 1,168.89

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Solution

The fourth proportional to 4,631.64, 6,947.43 and 1,168.89 is: 1,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.64 : 6,947.43 = 1,168.89 : x
  2. Step 2: Convert to fraction form
    4,631.64/6,947.43 = 1,168.89/x
  3. Step 3: Cross multiply
    4,631.64x = 6,947.43 × 1,168.89
  4. Step 4: Simplify right side
    4,631.64x = 8,120,781.45
  5. Step 5: Solve for x
    x = 8,120,781.45/4,631.64
  6. Step 6: Final answer
    x = 1,753.33

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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.