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Finding the Fourth Proportional to 3,386.48, 5,081.31 and 1,196.24

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Solution

The fourth proportional to 3,386.48, 5,081.31 and 1,196.24 is: 1,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.48 : 5,081.31 = 1,196.24 : x
  2. Step 2: Convert to fraction form
    3,386.48/5,081.31 = 1,196.24/x
  3. Step 3: Cross multiply
    3,386.48x = 5,081.31 × 1,196.24
  4. Step 4: Simplify right side
    3,386.48x = 6,078,440.87
  5. Step 5: Solve for x
    x = 6,078,440.87/3,386.48
  6. Step 6: Final answer
    x = 1,794.92

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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.