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Finding the Fourth Proportional to 5,824.32, 8,737.92 and 2,536.56

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Solution

The fourth proportional to 5,824.32, 8,737.92 and 2,536.56 is: 3,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.32 : 8,737.92 = 2,536.56 : x
  2. Step 2: Convert to fraction form
    5,824.32/8,737.92 = 2,536.56/x
  3. Step 3: Cross multiply
    5,824.32x = 8,737.92 × 2,536.56
  4. Step 4: Simplify right side
    5,824.32x = 22,164,258.36
  5. Step 5: Solve for x
    x = 22,164,258.36/5,824.32
  6. Step 6: Final answer
    x = 3,805.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.