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Finding the Fourth Proportional to 5,765.80, 8,648.19 and 1,605.72

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Solution

The fourth proportional to 5,765.80, 8,648.19 and 1,605.72 is: 2,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.80 : 8,648.19 = 1,605.72 : x
  2. Step 2: Convert to fraction form
    5,765.80/8,648.19 = 1,605.72/x
  3. Step 3: Cross multiply
    5,765.80x = 8,648.19 × 1,605.72
  4. Step 4: Simplify right side
    5,765.80x = 13,886,571.65
  5. Step 5: Solve for x
    x = 13,886,571.65/5,765.80
  6. Step 6: Final answer
    x = 2,408.44

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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.