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Finding the Fourth Proportional to 3,798.32, 5,698.92 and 1,491.44

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Solution

The fourth proportional to 3,798.32, 5,698.92 and 1,491.44 is: 2,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.32 : 5,698.92 = 1,491.44 : x
  2. Step 2: Convert to fraction form
    3,798.32/5,698.92 = 1,491.44/x
  3. Step 3: Cross multiply
    3,798.32x = 5,698.92 × 1,491.44
  4. Step 4: Simplify right side
    3,798.32x = 8,499,597.24
  5. Step 5: Solve for x
    x = 8,499,597.24/3,798.32
  6. Step 6: Final answer
    x = 2,237.73

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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.