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Finding the Fourth Proportional to 3,807.36, 5,711.52 and 1,468.32

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Solution

The fourth proportional to 3,807.36, 5,711.52 and 1,468.32 is: 2,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.36 : 5,711.52 = 1,468.32 : x
  2. Step 2: Convert to fraction form
    3,807.36/5,711.52 = 1,468.32/x
  3. Step 3: Cross multiply
    3,807.36x = 5,711.52 × 1,468.32
  4. Step 4: Simplify right side
    3,807.36x = 8,386,339.05
  5. Step 5: Solve for x
    x = 8,386,339.05/3,807.36
  6. Step 6: Final answer
    x = 2,202.67

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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.