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Finding the Fourth Proportional to 3,913.68, 5,401.17 and 2,341.74

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Solution

The fourth proportional to 3,913.68, 5,401.17 and 2,341.74 is: 3,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.68 : 5,401.17 = 2,341.74 : x
  2. Step 2: Convert to fraction form
    3,913.68/5,401.17 = 2,341.74/x
  3. Step 3: Cross multiply
    3,913.68x = 5,401.17 × 2,341.74
  4. Step 4: Simplify right side
    3,913.68x = 12,648,135.84
  5. Step 5: Solve for x
    x = 12,648,135.84/3,913.68
  6. Step 6: Final answer
    x = 3,231.78

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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.