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Finding the Fourth Proportional to 3,960.71, 5,465.23 and 2,281.98

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Solution

The fourth proportional to 3,960.71, 5,465.23 and 2,281.98 is: 3,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.71 : 5,465.23 = 2,281.98 : x
  2. Step 2: Convert to fraction form
    3,960.71/5,465.23 = 2,281.98/x
  3. Step 3: Cross multiply
    3,960.71x = 5,465.23 × 2,281.98
  4. Step 4: Simplify right side
    3,960.71x = 12,471,539.85
  5. Step 5: Solve for x
    x = 12,471,539.85/3,960.71
  6. Step 6: Final answer
    x = 3,148.82

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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.