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Finding the Fourth Proportional to 5,729.87, 8,595.05 and 2,032.49

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Solution

The fourth proportional to 5,729.87, 8,595.05 and 2,032.49 is: 3,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.87 : 8,595.05 = 2,032.49 : x
  2. Step 2: Convert to fraction form
    5,729.87/8,595.05 = 2,032.49/x
  3. Step 3: Cross multiply
    5,729.87x = 8,595.05 × 2,032.49
  4. Step 4: Simplify right side
    5,729.87x = 17,469,364.50
  5. Step 5: Solve for x
    x = 17,469,364.50/5,729.87
  6. Step 6: Final answer
    x = 3,048.82

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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.