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Finding the Fourth Proportional to 3,588.70, 5,373.07 and 1,829.91

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Solution

The fourth proportional to 3,588.70, 5,373.07 and 1,829.91 is: 2,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.70 : 5,373.07 = 1,829.91 : x
  2. Step 2: Convert to fraction form
    3,588.70/5,373.07 = 1,829.91/x
  3. Step 3: Cross multiply
    3,588.70x = 5,373.07 × 1,829.91
  4. Step 4: Simplify right side
    3,588.70x = 9,832,234.52
  5. Step 5: Solve for x
    x = 9,832,234.52/3,588.70
  6. Step 6: Final answer
    x = 2,739.78

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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.