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Finding the Fourth Proportional to 3,566.71, 5,352.09 and 1,923.22

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Solution

The fourth proportional to 3,566.71, 5,352.09 and 1,923.22 is: 2,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.71 : 5,352.09 = 1,923.22 : x
  2. Step 2: Convert to fraction form
    3,566.71/5,352.09 = 1,923.22/x
  3. Step 3: Cross multiply
    3,566.71x = 5,352.09 × 1,923.22
  4. Step 4: Simplify right side
    3,566.71x = 10,293,246.53
  5. Step 5: Solve for x
    x = 10,293,246.53/3,566.71
  6. Step 6: Final answer
    x = 2,885.92

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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.