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Finding the Fourth Proportional to 3,849.20, 5,773.80 and 3,411.80

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Solution

The fourth proportional to 3,849.20, 5,773.80 and 3,411.80 is: 5,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.20 : 5,773.80 = 3,411.80 : x
  2. Step 2: Convert to fraction form
    3,849.20/5,773.80 = 3,411.80/x
  3. Step 3: Cross multiply
    3,849.20x = 5,773.80 × 3,411.80
  4. Step 4: Simplify right side
    3,849.20x = 19,699,050.84
  5. Step 5: Solve for x
    x = 19,699,050.84/3,849.20
  6. Step 6: Final answer
    x = 5,117.70

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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.