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Finding the Fourth Proportional to 5,785.78, 7,984.32 and 3,133.16

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Solution

The fourth proportional to 5,785.78, 7,984.32 and 3,133.16 is: 4,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.78 : 7,984.32 = 3,133.16 : x
  2. Step 2: Convert to fraction form
    5,785.78/7,984.32 = 3,133.16/x
  3. Step 3: Cross multiply
    5,785.78x = 7,984.32 × 3,133.16
  4. Step 4: Simplify right side
    5,785.78x = 25,016,152.05
  5. Step 5: Solve for x
    x = 25,016,152.05/5,785.78
  6. Step 6: Final answer
    x = 4,323.73

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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.