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Finding the Fourth Proportional to 3,462.66, 5,196.15 and 1,382.36

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Solution

The fourth proportional to 3,462.66, 5,196.15 and 1,382.36 is: 2,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.66 : 5,196.15 = 1,382.36 : x
  2. Step 2: Convert to fraction form
    3,462.66/5,196.15 = 1,382.36/x
  3. Step 3: Cross multiply
    3,462.66x = 5,196.15 × 1,382.36
  4. Step 4: Simplify right side
    3,462.66x = 7,182,923.93
  5. Step 5: Solve for x
    x = 7,182,923.93/3,462.66
  6. Step 6: Final answer
    x = 2,074.39

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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.