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Finding the Fourth Proportional to 5,838.72, 8,752.80 and 2,138.32

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Solution

The fourth proportional to 5,838.72, 8,752.80 and 2,138.32 is: 3,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.72 : 8,752.80 = 2,138.32 : x
  2. Step 2: Convert to fraction form
    5,838.72/8,752.80 = 2,138.32/x
  3. Step 3: Cross multiply
    5,838.72x = 8,752.80 × 2,138.32
  4. Step 4: Simplify right side
    5,838.72x = 18,716,287.30
  5. Step 5: Solve for x
    x = 18,716,287.30/5,838.72
  6. Step 6: Final answer
    x = 3,205.55

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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.