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Finding the Fourth Proportional to 5,672.72, 7,826.26 and 3,433.76

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Solution

The fourth proportional to 5,672.72, 7,826.26 and 3,433.76 is: 4,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.72 : 7,826.26 = 3,433.76 : x
  2. Step 2: Convert to fraction form
    5,672.72/7,826.26 = 3,433.76/x
  3. Step 3: Cross multiply
    5,672.72x = 7,826.26 × 3,433.76
  4. Step 4: Simplify right side
    5,672.72x = 26,873,498.54
  5. Step 5: Solve for x
    x = 26,873,498.54/5,672.72
  6. Step 6: Final answer
    x = 4,737.32

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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.