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Finding the Fourth Proportional to 5,710.46, 7,883.07 and 3,617.42

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Solution

The fourth proportional to 5,710.46, 7,883.07 and 3,617.42 is: 4,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.46 : 7,883.07 = 3,617.42 : x
  2. Step 2: Convert to fraction form
    5,710.46/7,883.07 = 3,617.42/x
  3. Step 3: Cross multiply
    5,710.46x = 7,883.07 × 3,617.42
  4. Step 4: Simplify right side
    5,710.46x = 28,516,375.08
  5. Step 5: Solve for x
    x = 28,516,375.08/5,710.46
  6. Step 6: Final answer
    x = 4,993.71

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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.