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Finding the Fourth Proportional to 4,113.68, 5,674.26 and 2,697.46

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Solution

The fourth proportional to 4,113.68, 5,674.26 and 2,697.46 is: 3,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.68 : 5,674.26 = 2,697.46 : x
  2. Step 2: Convert to fraction form
    4,113.68/5,674.26 = 2,697.46/x
  3. Step 3: Cross multiply
    4,113.68x = 5,674.26 × 2,697.46
  4. Step 4: Simplify right side
    4,113.68x = 15,306,065.08
  5. Step 5: Solve for x
    x = 15,306,065.08/4,113.68
  6. Step 6: Final answer
    x = 3,720.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.