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Finding the Fourth Proportional to 5,708.64, 7,877.75 and 3,350.73

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Solution

The fourth proportional to 5,708.64, 7,877.75 and 3,350.73 is: 4,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.64 : 7,877.75 = 3,350.73 : x
  2. Step 2: Convert to fraction form
    5,708.64/7,877.75 = 3,350.73/x
  3. Step 3: Cross multiply
    5,708.64x = 7,877.75 × 3,350.73
  4. Step 4: Simplify right side
    5,708.64x = 26,396,196.50
  5. Step 5: Solve for x
    x = 26,396,196.50/5,708.64
  6. Step 6: Final answer
    x = 4,623.90

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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.