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Finding the Fourth Proportional to 3,907.44, 5,394.60 and 2,582.28

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Solution

The fourth proportional to 3,907.44, 5,394.60 and 2,582.28 is: 3,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.44 : 5,394.60 = 2,582.28 : x
  2. Step 2: Convert to fraction form
    3,907.44/5,394.60 = 2,582.28/x
  3. Step 3: Cross multiply
    3,907.44x = 5,394.60 × 2,582.28
  4. Step 4: Simplify right side
    3,907.44x = 13,930,367.69
  5. Step 5: Solve for x
    x = 13,930,367.69/3,907.44
  6. Step 6: Final answer
    x = 3,565.09

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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.