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Finding the Fourth Proportional to 4,663.64, 6,992.22 and 2,196.38

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Solution

The fourth proportional to 4,663.64, 6,992.22 and 2,196.38 is: 3,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.64 : 6,992.22 = 2,196.38 : x
  2. Step 2: Convert to fraction form
    4,663.64/6,992.22 = 2,196.38/x
  3. Step 3: Cross multiply
    4,663.64x = 6,992.22 × 2,196.38
  4. Step 4: Simplify right side
    4,663.64x = 15,357,572.16
  5. Step 5: Solve for x
    x = 15,357,572.16/4,663.64
  6. Step 6: Final answer
    x = 3,293.04

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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.