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Finding the Fourth Proportional to 5,682.69, 7,839.74 and 3,443.75

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Solution

The fourth proportional to 5,682.69, 7,839.74 and 3,443.75 is: 4,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.69 : 7,839.74 = 3,443.75 : x
  2. Step 2: Convert to fraction form
    5,682.69/7,839.74 = 3,443.75/x
  3. Step 3: Cross multiply
    5,682.69x = 7,839.74 × 3,443.75
  4. Step 4: Simplify right side
    5,682.69x = 26,998,048.21
  5. Step 5: Solve for x
    x = 26,998,048.21/5,682.69
  6. Step 6: Final answer
    x = 4,750.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.