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Finding the Fourth Proportional to 3,913.95, 5,401.23 and 2,342.41

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Solution

The fourth proportional to 3,913.95, 5,401.23 and 2,342.41 is: 3,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.95 : 5,401.23 = 2,342.41 : x
  2. Step 2: Convert to fraction form
    3,913.95/5,401.23 = 2,342.41/x
  3. Step 3: Cross multiply
    3,913.95x = 5,401.23 × 2,342.41
  4. Step 4: Simplify right side
    3,913.95x = 12,651,895.16
  5. Step 5: Solve for x
    x = 12,651,895.16/3,913.95
  6. Step 6: Final answer
    x = 3,232.51

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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.