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Finding the Fourth Proportional to 5,744.76, 7,926.48 and 3,387.12

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Solution

The fourth proportional to 5,744.76, 7,926.48 and 3,387.12 is: 4,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.76 : 7,926.48 = 3,387.12 : x
  2. Step 2: Convert to fraction form
    5,744.76/7,926.48 = 3,387.12/x
  3. Step 3: Cross multiply
    5,744.76x = 7,926.48 × 3,387.12
  4. Step 4: Simplify right side
    5,744.76x = 26,847,938.94
  5. Step 5: Solve for x
    x = 26,847,938.94/5,744.76
  6. Step 6: Final answer
    x = 4,673.47

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1.5x scale

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.