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Finding the Fourth Proportional to 4,169.80, 5,756.73 and 3,113.40

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Solution

The fourth proportional to 4,169.80, 5,756.73 and 3,113.40 is: 4,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.80 : 5,756.73 = 3,113.40 : x
  2. Step 2: Convert to fraction form
    4,169.80/5,756.73 = 3,113.40/x
  3. Step 3: Cross multiply
    4,169.80x = 5,756.73 × 3,113.40
  4. Step 4: Simplify right side
    4,169.80x = 17,923,003.18
  5. Step 5: Solve for x
    x = 17,923,003.18/4,169.80
  6. Step 6: Final answer
    x = 4,298.29

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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.