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Finding the Fourth Proportional to 4,663.17, 6,993.54 and 2,197.33

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Solution

The fourth proportional to 4,663.17, 6,993.54 and 2,197.33 is: 3,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.17 : 6,993.54 = 2,197.33 : x
  2. Step 2: Convert to fraction form
    4,663.17/6,993.54 = 2,197.33/x
  3. Step 3: Cross multiply
    4,663.17x = 6,993.54 × 2,197.33
  4. Step 4: Simplify right side
    4,663.17x = 15,367,097.76
  5. Step 5: Solve for x
    x = 15,367,097.76/4,663.17
  6. Step 6: Final answer
    x = 3,295.42

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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.