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Finding the Fourth Proportional to 3,807.25, 5,711.72 and 1,617.85

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Solution

The fourth proportional to 3,807.25, 5,711.72 and 1,617.85 is: 2,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.25 : 5,711.72 = 1,617.85 : x
  2. Step 2: Convert to fraction form
    3,807.25/5,711.72 = 1,617.85/x
  3. Step 3: Cross multiply
    3,807.25x = 5,711.72 × 1,617.85
  4. Step 4: Simplify right side
    3,807.25x = 9,240,698.11
  5. Step 5: Solve for x
    x = 9,240,698.11/3,807.25
  6. Step 6: Final answer
    x = 2,427.13

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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.