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Finding the Fourth Proportional to 3,907.28, 5,862 and 2,177.12

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Solution

The fourth proportional to 3,907.28, 5,862 and 2,177.12 is: 3,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.28 : 5,862 = 2,177.12 : x
  2. Step 2: Convert to fraction form
    3,907.28/5,862 = 2,177.12/x
  3. Step 3: Cross multiply
    3,907.28x = 5,862 × 2,177.12
  4. Step 4: Simplify right side
    3,907.28x = 12,762,277.44
  5. Step 5: Solve for x
    x = 12,762,277.44/3,907.28
  6. Step 6: Final answer
    x = 3,266.28

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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.