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Finding the Fourth Proportional to 4,674.46, 7,012.68 and 1,387.78

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Solution

The fourth proportional to 4,674.46, 7,012.68 and 1,387.78 is: 2,081.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.46 : 7,012.68 = 1,387.78 : x
  2. Step 2: Convert to fraction form
    4,674.46/7,012.68 = 1,387.78/x
  3. Step 3: Cross multiply
    4,674.46x = 7,012.68 × 1,387.78
  4. Step 4: Simplify right side
    4,674.46x = 9,732,057.05
  5. Step 5: Solve for x
    x = 9,732,057.05/4,674.46
  6. Step 6: Final answer
    x = 2,081.96

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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.