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Finding the Fourth Proportional to 4,663.38, 6,994.94 and 2,196.80

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Solution

The fourth proportional to 4,663.38, 6,994.94 and 2,196.80 is: 3,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.38 : 6,994.94 = 2,196.80 : x
  2. Step 2: Convert to fraction form
    4,663.38/6,994.94 = 2,196.80/x
  3. Step 3: Cross multiply
    4,663.38x = 6,994.94 × 2,196.80
  4. Step 4: Simplify right side
    4,663.38x = 15,366,438.23
  5. Step 5: Solve for x
    x = 15,366,438.23/4,663.38
  6. Step 6: Final answer
    x = 3,295.13

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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.