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Finding the Fourth Proportional to 3,902.80, 5,386.36 and 2,559.54

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Solution

The fourth proportional to 3,902.80, 5,386.36 and 2,559.54 is: 3,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.80 : 5,386.36 = 2,559.54 : x
  2. Step 2: Convert to fraction form
    3,902.80/5,386.36 = 2,559.54/x
  3. Step 3: Cross multiply
    3,902.80x = 5,386.36 × 2,559.54
  4. Step 4: Simplify right side
    3,902.80x = 13,786,597.48
  5. Step 5: Solve for x
    x = 13,786,597.48/3,902.80
  6. Step 6: Final answer
    x = 3,532.49

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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.