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Finding the Fourth Proportional to 4,140.96, 6,207.12 and 1,674.78

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Solution

The fourth proportional to 4,140.96, 6,207.12 and 1,674.78 is: 2,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.96 : 6,207.12 = 1,674.78 : x
  2. Step 2: Convert to fraction form
    4,140.96/6,207.12 = 1,674.78/x
  3. Step 3: Cross multiply
    4,140.96x = 6,207.12 × 1,674.78
  4. Step 4: Simplify right side
    4,140.96x = 10,395,560.43
  5. Step 5: Solve for x
    x = 10,395,560.43/4,140.96
  6. Step 6: Final answer
    x = 2,510.42

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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.