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Finding the Fourth Proportional to 5,738.96, 8,599.80 and 3,138.32

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Solution

The fourth proportional to 5,738.96, 8,599.80 and 3,138.32 is: 4,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.96 : 8,599.80 = 3,138.32 : x
  2. Step 2: Convert to fraction form
    5,738.96/8,599.80 = 3,138.32/x
  3. Step 3: Cross multiply
    5,738.96x = 8,599.80 × 3,138.32
  4. Step 4: Simplify right side
    5,738.96x = 26,988,924.34
  5. Step 5: Solve for x
    x = 26,988,924.34/5,738.96
  6. Step 6: Final answer
    x = 4,702.76

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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.