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Finding the Fourth Proportional to 3,821.70, 5,732.70 and 1,189.47

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Solution

The fourth proportional to 3,821.70, 5,732.70 and 1,189.47 is: 1,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.70 : 5,732.70 = 1,189.47 : x
  2. Step 2: Convert to fraction form
    3,821.70/5,732.70 = 1,189.47/x
  3. Step 3: Cross multiply
    3,821.70x = 5,732.70 × 1,189.47
  4. Step 4: Simplify right side
    3,821.70x = 6,818,874.67
  5. Step 5: Solve for x
    x = 6,818,874.67/3,821.70
  6. Step 6: Final answer
    x = 1,784.25

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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.