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Finding the Fourth Proportional to 3,527.68, 4,868.40 and 2,408.80

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Solution

The fourth proportional to 3,527.68, 4,868.40 and 2,408.80 is: 3,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.68 : 4,868.40 = 2,408.80 : x
  2. Step 2: Convert to fraction form
    3,527.68/4,868.40 = 2,408.80/x
  3. Step 3: Cross multiply
    3,527.68x = 4,868.40 × 2,408.80
  4. Step 4: Simplify right side
    3,527.68x = 11,727,001.92
  5. Step 5: Solve for x
    x = 11,727,001.92/3,527.68
  6. Step 6: Final answer
    x = 3,324.28

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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.