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Finding the Fourth Proportional to 3,807.45, 5,711.39 and 2,152.15

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Solution

The fourth proportional to 3,807.45, 5,711.39 and 2,152.15 is: 3,228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.45 : 5,711.39 = 2,152.15 : x
  2. Step 2: Convert to fraction form
    3,807.45/5,711.39 = 2,152.15/x
  3. Step 3: Cross multiply
    3,807.45x = 5,711.39 × 2,152.15
  4. Step 4: Simplify right side
    3,807.45x = 12,291,759.09
  5. Step 5: Solve for x
    x = 12,291,759.09/3,807.45
  6. Step 6: Final answer
    x = 3,228.34

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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.