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Finding the Fourth Proportional to 5,742.95, 7,924.05 and 3,756.42

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Solution

The fourth proportional to 5,742.95, 7,924.05 and 3,756.42 is: 5,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.95 : 7,924.05 = 3,756.42 : x
  2. Step 2: Convert to fraction form
    5,742.95/7,924.05 = 3,756.42/x
  3. Step 3: Cross multiply
    5,742.95x = 7,924.05 × 3,756.42
  4. Step 4: Simplify right side
    5,742.95x = 29,766,059.90
  5. Step 5: Solve for x
    x = 29,766,059.90/5,742.95
  6. Step 6: Final answer
    x = 5,183.07

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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.