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Finding the Fourth Proportional to 5,677.56, 7,826.58 and 3,993.48

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Solution

The fourth proportional to 5,677.56, 7,826.58 and 3,993.48 is: 5,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.56 : 7,826.58 = 3,993.48 : x
  2. Step 2: Convert to fraction form
    5,677.56/7,826.58 = 3,993.48/x
  3. Step 3: Cross multiply
    5,677.56x = 7,826.58 × 3,993.48
  4. Step 4: Simplify right side
    5,677.56x = 31,255,290.70
  5. Step 5: Solve for x
    x = 31,255,290.70/5,677.56
  6. Step 6: Final answer
    x = 5,505.06

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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.