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Finding the Fourth Proportional to 3,902.40, 5,389.20 and 2,488.77

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Solution

The fourth proportional to 3,902.40, 5,389.20 and 2,488.77 is: 3,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.40 : 5,389.20 = 2,488.77 : x
  2. Step 2: Convert to fraction form
    3,902.40/5,389.20 = 2,488.77/x
  3. Step 3: Cross multiply
    3,902.40x = 5,389.20 × 2,488.77
  4. Step 4: Simplify right side
    3,902.40x = 13,412,479.28
  5. Step 5: Solve for x
    x = 13,412,479.28/3,902.40
  6. Step 6: Final answer
    x = 3,436.98

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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.