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Finding the Fourth Proportional to 3,841.79, 5,764.82 and 3,562.95

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Solution

The fourth proportional to 3,841.79, 5,764.82 and 3,562.95 is: 5,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.79 : 5,764.82 = 3,562.95 : x
  2. Step 2: Convert to fraction form
    3,841.79/5,764.82 = 3,562.95/x
  3. Step 3: Cross multiply
    3,841.79x = 5,764.82 × 3,562.95
  4. Step 4: Simplify right side
    3,841.79x = 20,539,747.60
  5. Step 5: Solve for x
    x = 20,539,747.60/3,841.79
  6. Step 6: Final answer
    x = 5,346.40

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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.