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Finding the Fourth Proportional to 5,765.60, 7,952.28 and 4,273.58

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Solution

The fourth proportional to 5,765.60, 7,952.28 and 4,273.58 is: 5,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.60 : 7,952.28 = 4,273.58 : x
  2. Step 2: Convert to fraction form
    5,765.60/7,952.28 = 4,273.58/x
  3. Step 3: Cross multiply
    5,765.60x = 7,952.28 × 4,273.58
  4. Step 4: Simplify right side
    5,765.60x = 33,984,704.76
  5. Step 5: Solve for x
    x = 33,984,704.76/5,765.60
  6. Step 6: Final answer
    x = 5,894.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.