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Finding the Fourth Proportional to 5,536.32, 8,305.26 and 1,838.96

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Solution

The fourth proportional to 5,536.32, 8,305.26 and 1,838.96 is: 2,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.32 : 8,305.26 = 1,838.96 : x
  2. Step 2: Convert to fraction form
    5,536.32/8,305.26 = 1,838.96/x
  3. Step 3: Cross multiply
    5,536.32x = 8,305.26 × 1,838.96
  4. Step 4: Simplify right side
    5,536.32x = 15,273,040.93
  5. Step 5: Solve for x
    x = 15,273,040.93/5,536.32
  6. Step 6: Final answer
    x = 2,758.70

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