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Finding the Fourth Proportional to 5,760.42, 7,944.48 and 4,641

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Solution

The fourth proportional to 5,760.42, 7,944.48 and 4,641 is: 6,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.42 : 7,944.48 = 4,641 : x
  2. Step 2: Convert to fraction form
    5,760.42/7,944.48 = 4,641/x
  3. Step 3: Cross multiply
    5,760.42x = 7,944.48 × 4,641
  4. Step 4: Simplify right side
    5,760.42x = 36,870,331.68
  5. Step 5: Solve for x
    x = 36,870,331.68/5,760.42
  6. Step 6: Final answer
    x = 6,400.63

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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.