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Finding the Fourth Proportional to 3,900.42, 5,382.18 and 2,328.30

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Solution

The fourth proportional to 3,900.42, 5,382.18 and 2,328.30 is: 3,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.42 : 5,382.18 = 2,328.30 : x
  2. Step 2: Convert to fraction form
    3,900.42/5,382.18 = 2,328.30/x
  3. Step 3: Cross multiply
    3,900.42x = 5,382.18 × 2,328.30
  4. Step 4: Simplify right side
    3,900.42x = 12,531,329.69
  5. Step 5: Solve for x
    x = 12,531,329.69/3,900.42
  6. Step 6: Final answer
    x = 3,212.82

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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.