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Finding the Fourth Proportional to 5,672.71, 7,826.27 and 3,433.77

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Solution

The fourth proportional to 5,672.71, 7,826.27 and 3,433.77 is: 4,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.71 : 7,826.27 = 3,433.77 : x
  2. Step 2: Convert to fraction form
    5,672.71/7,826.27 = 3,433.77/x
  3. Step 3: Cross multiply
    5,672.71x = 7,826.27 × 3,433.77
  4. Step 4: Simplify right side
    5,672.71x = 26,873,611.14
  5. Step 5: Solve for x
    x = 26,873,611.14/5,672.71
  6. Step 6: Final answer
    x = 4,737.35

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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.