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Finding the Fourth Proportional to 3,663.30, 5,491.48 and 1,196.40

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Solution

The fourth proportional to 3,663.30, 5,491.48 and 1,196.40 is: 1,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.30 : 5,491.48 = 1,196.40 : x
  2. Step 2: Convert to fraction form
    3,663.30/5,491.48 = 1,196.40/x
  3. Step 3: Cross multiply
    3,663.30x = 5,491.48 × 1,196.40
  4. Step 4: Simplify right side
    3,663.30x = 6,570,006.67
  5. Step 5: Solve for x
    x = 6,570,006.67/3,663.30
  6. Step 6: Final answer
    x = 1,793.47

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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.