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Finding the Fourth Proportional to 5,780.70, 7,975.56 and 3,540.24

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Solution

The fourth proportional to 5,780.70, 7,975.56 and 3,540.24 is: 4,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.70 : 7,975.56 = 3,540.24 : x
  2. Step 2: Convert to fraction form
    5,780.70/7,975.56 = 3,540.24/x
  3. Step 3: Cross multiply
    5,780.70x = 7,975.56 × 3,540.24
  4. Step 4: Simplify right side
    5,780.70x = 28,235,396.53
  5. Step 5: Solve for x
    x = 28,235,396.53/5,780.70
  6. Step 6: Final answer
    x = 4,884.43

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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.