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Finding the Fourth Proportional to 3,902.94, 5,386.16 and 2,331.95

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Solution

The fourth proportional to 3,902.94, 5,386.16 and 2,331.95 is: 3,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.94 : 5,386.16 = 2,331.95 : x
  2. Step 2: Convert to fraction form
    3,902.94/5,386.16 = 2,331.95/x
  3. Step 3: Cross multiply
    3,902.94x = 5,386.16 × 2,331.95
  4. Step 4: Simplify right side
    3,902.94x = 12,560,234.71
  5. Step 5: Solve for x
    x = 12,560,234.71/3,902.94
  6. Step 6: Final answer
    x = 3,218.15

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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.