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Finding the Fourth Proportional to 3,566.87, 4,923.63 and 3,193.18

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Solution

The fourth proportional to 3,566.87, 4,923.63 and 3,193.18 is: 4,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.87 : 4,923.63 = 3,193.18 : x
  2. Step 2: Convert to fraction form
    3,566.87/4,923.63 = 3,193.18/x
  3. Step 3: Cross multiply
    3,566.87x = 4,923.63 × 3,193.18
  4. Step 4: Simplify right side
    3,566.87x = 15,721,996.26
  5. Step 5: Solve for x
    x = 15,721,996.26/3,566.87
  6. Step 6: Final answer
    x = 4,407.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.