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Finding the Fourth Proportional to 5,297.57, 7,943.28 and 3,544.58

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Solution

The fourth proportional to 5,297.57, 7,943.28 and 3,544.58 is: 5,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.57 : 7,943.28 = 3,544.58 : x
  2. Step 2: Convert to fraction form
    5,297.57/7,943.28 = 3,544.58/x
  3. Step 3: Cross multiply
    5,297.57x = 7,943.28 × 3,544.58
  4. Step 4: Simplify right side
    5,297.57x = 28,155,591.42
  5. Step 5: Solve for x
    x = 28,155,591.42/5,297.57
  6. Step 6: Final answer
    x = 5,314.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.