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Finding the Fourth Proportional to 3,567.82, 5,352.55 and 1,924.33

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Solution

The fourth proportional to 3,567.82, 5,352.55 and 1,924.33 is: 2,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.82 : 5,352.55 = 1,924.33 : x
  2. Step 2: Convert to fraction form
    3,567.82/5,352.55 = 1,924.33/x
  3. Step 3: Cross multiply
    3,567.82x = 5,352.55 × 1,924.33
  4. Step 4: Simplify right side
    3,567.82x = 10,300,081.11
  5. Step 5: Solve for x
    x = 10,300,081.11/3,567.82
  6. Step 6: Final answer
    x = 2,886.94

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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.