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Finding the Fourth Proportional to 3,154.43, 4,735.13 and 2,666.88

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Solution

The fourth proportional to 3,154.43, 4,735.13 and 2,666.88 is: 4,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.43 : 4,735.13 = 2,666.88 : x
  2. Step 2: Convert to fraction form
    3,154.43/4,735.13 = 2,666.88/x
  3. Step 3: Cross multiply
    3,154.43x = 4,735.13 × 2,666.88
  4. Step 4: Simplify right side
    3,154.43x = 12,628,010.16
  5. Step 5: Solve for x
    x = 12,628,010.16/3,154.43
  6. Step 6: Final answer
    x = 4,003.27

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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.