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Finding the Fourth Proportional to 3,838.74, 5,759.32 and 1,373.50

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Solution

The fourth proportional to 3,838.74, 5,759.32 and 1,373.50 is: 2,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.74 : 5,759.32 = 1,373.50 : x
  2. Step 2: Convert to fraction form
    3,838.74/5,759.32 = 1,373.50/x
  3. Step 3: Cross multiply
    3,838.74x = 5,759.32 × 1,373.50
  4. Step 4: Simplify right side
    3,838.74x = 7,910,426.02
  5. Step 5: Solve for x
    x = 7,910,426.02/3,838.74
  6. Step 6: Final answer
    x = 2,060.68

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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.