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Finding the Fourth Proportional to 3,879.84, 5,820 and 1,143.84

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Solution

The fourth proportional to 3,879.84, 5,820 and 1,143.84 is: 1,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.84 : 5,820 = 1,143.84 : x
  2. Step 2: Convert to fraction form
    3,879.84/5,820 = 1,143.84/x
  3. Step 3: Cross multiply
    3,879.84x = 5,820 × 1,143.84
  4. Step 4: Simplify right side
    3,879.84x = 6,657,148.80
  5. Step 5: Solve for x
    x = 6,657,148.80/3,879.84
  6. Step 6: Final answer
    x = 1,715.83

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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.