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Finding the Fourth Proportional to 3,888.40, 5,825.04 and 3,472.96

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Solution

The fourth proportional to 3,888.40, 5,825.04 and 3,472.96 is: 5,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.40 : 5,825.04 = 3,472.96 : x
  2. Step 2: Convert to fraction form
    3,888.40/5,825.04 = 3,472.96/x
  3. Step 3: Cross multiply
    3,888.40x = 5,825.04 × 3,472.96
  4. Step 4: Simplify right side
    3,888.40x = 20,230,130.92
  5. Step 5: Solve for x
    x = 20,230,130.92/3,888.40
  6. Step 6: Final answer
    x = 5,202.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.