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Finding the Fourth Proportional to 4,140.68, 6,209.96 and 1,674.78

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Solution

The fourth proportional to 4,140.68, 6,209.96 and 1,674.78 is: 2,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.68 : 6,209.96 = 1,674.78 : x
  2. Step 2: Convert to fraction form
    4,140.68/6,209.96 = 1,674.78/x
  3. Step 3: Cross multiply
    4,140.68x = 6,209.96 × 1,674.78
  4. Step 4: Simplify right side
    4,140.68x = 10,400,316.81
  5. Step 5: Solve for x
    x = 10,400,316.81/4,140.68
  6. Step 6: Final answer
    x = 2,511.74

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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.