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Finding the Fourth Proportional to 3,900.66, 5,385.78 and 2,409.18

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Solution

The fourth proportional to 3,900.66, 5,385.78 and 2,409.18 is: 3,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.66 : 5,385.78 = 2,409.18 : x
  2. Step 2: Convert to fraction form
    3,900.66/5,385.78 = 2,409.18/x
  3. Step 3: Cross multiply
    3,900.66x = 5,385.78 × 2,409.18
  4. Step 4: Simplify right side
    3,900.66x = 12,975,313.46
  5. Step 5: Solve for x
    x = 12,975,313.46/3,900.66
  6. Step 6: Final answer
    x = 3,326.44

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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.