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Finding the Fourth Proportional to 5,901.75, 8,144.42 and 3,543.91

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Solution

The fourth proportional to 5,901.75, 8,144.42 and 3,543.91 is: 4,890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.75 : 8,144.42 = 3,543.91 : x
  2. Step 2: Convert to fraction form
    5,901.75/8,144.42 = 3,543.91/x
  3. Step 3: Cross multiply
    5,901.75x = 8,144.42 × 3,543.91
  4. Step 4: Simplify right side
    5,901.75x = 28,863,053.40
  5. Step 5: Solve for x
    x = 28,863,053.40/5,901.75
  6. Step 6: Final answer
    x = 4,890.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.