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Finding the Fourth Proportional to 5,839.69, 8,758.22 and 1,678.77

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Solution

The fourth proportional to 5,839.69, 8,758.22 and 1,678.77 is: 2,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.69 : 8,758.22 = 1,678.77 : x
  2. Step 2: Convert to fraction form
    5,839.69/8,758.22 = 1,678.77/x
  3. Step 3: Cross multiply
    5,839.69x = 8,758.22 × 1,678.77
  4. Step 4: Simplify right side
    5,839.69x = 14,703,036.99
  5. Step 5: Solve for x
    x = 14,703,036.99/5,839.69
  6. Step 6: Final answer
    x = 2,517.78

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1.5x scale

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.