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Finding the Fourth Proportional to 3,486.38, 5,230.05 and 1,021.38

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Solution

The fourth proportional to 3,486.38, 5,230.05 and 1,021.38 is: 1,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.38 : 5,230.05 = 1,021.38 : x
  2. Step 2: Convert to fraction form
    3,486.38/5,230.05 = 1,021.38/x
  3. Step 3: Cross multiply
    3,486.38x = 5,230.05 × 1,021.38
  4. Step 4: Simplify right side
    3,486.38x = 5,341,868.47
  5. Step 5: Solve for x
    x = 5,341,868.47/3,486.38
  6. Step 6: Final answer
    x = 1,532.21

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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.