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Finding the Fourth Proportional to 3,915.87, 5,406.57 and 2,907.83

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Solution

The fourth proportional to 3,915.87, 5,406.57 and 2,907.83 is: 4,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.87 : 5,406.57 = 2,907.83 : x
  2. Step 2: Convert to fraction form
    3,915.87/5,406.57 = 2,907.83/x
  3. Step 3: Cross multiply
    3,915.87x = 5,406.57 × 2,907.83
  4. Step 4: Simplify right side
    3,915.87x = 15,721,359.41
  5. Step 5: Solve for x
    x = 15,721,359.41/3,915.87
  6. Step 6: Final answer
    x = 4,014.78

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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.