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Finding the Fourth Proportional to 3,733.70, 5,601.00 and 1,543.96

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Solution

The fourth proportional to 3,733.70, 5,601.00 and 1,543.96 is: 2,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.70 : 5,601.00 = 1,543.96 : x
  2. Step 2: Convert to fraction form
    3,733.70/5,601.00 = 1,543.96/x
  3. Step 3: Cross multiply
    3,733.70x = 5,601.00 × 1,543.96
  4. Step 4: Simplify right side
    3,733.70x = 8,647,724.07
  5. Step 5: Solve for x
    x = 8,647,724.07/3,733.70
  6. Step 6: Final answer
    x = 2,316.13

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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.