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Finding the Fourth Proportional to 4,169.50, 5,756.34 and 2,774.68

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Solution

The fourth proportional to 4,169.50, 5,756.34 and 2,774.68 is: 3,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.50 : 5,756.34 = 2,774.68 : x
  2. Step 2: Convert to fraction form
    4,169.50/5,756.34 = 2,774.68/x
  3. Step 3: Cross multiply
    4,169.50x = 5,756.34 × 2,774.68
  4. Step 4: Simplify right side
    4,169.50x = 15,972,001.47
  5. Step 5: Solve for x
    x = 15,972,001.47/4,169.50
  6. Step 6: Final answer
    x = 3,830.68

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