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Finding the Fourth Proportional to 5,765.70, 8,648.14 and 3,292.77

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Solution

The fourth proportional to 5,765.70, 8,648.14 and 3,292.77 is: 4,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.70 : 8,648.14 = 3,292.77 : x
  2. Step 2: Convert to fraction form
    5,765.70/8,648.14 = 3,292.77/x
  3. Step 3: Cross multiply
    5,765.70x = 8,648.14 × 3,292.77
  4. Step 4: Simplify right side
    5,765.70x = 28,476,284.48
  5. Step 5: Solve for x
    x = 28,476,284.48/5,765.70
  6. Step 6: Final answer
    x = 4,938.92

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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.