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Finding the Fourth Proportional to 3,567.87, 5,352.41 and 1,069.22

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Solution

The fourth proportional to 3,567.87, 5,352.41 and 1,069.22 is: 1,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.87 : 5,352.41 = 1,069.22 : x
  2. Step 2: Convert to fraction form
    3,567.87/5,352.41 = 1,069.22/x
  3. Step 3: Cross multiply
    3,567.87x = 5,352.41 × 1,069.22
  4. Step 4: Simplify right side
    3,567.87x = 5,722,871.71
  5. Step 5: Solve for x
    x = 5,722,871.71/3,567.87
  6. Step 6: Final answer
    x = 1,604.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.