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Finding the Fourth Proportional to 5,843.40, 8,767.70 and 3,069.40

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Solution

The fourth proportional to 5,843.40, 8,767.70 and 3,069.40 is: 4,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.40 : 8,767.70 = 3,069.40 : x
  2. Step 2: Convert to fraction form
    5,843.40/8,767.70 = 3,069.40/x
  3. Step 3: Cross multiply
    5,843.40x = 8,767.70 × 3,069.40
  4. Step 4: Simplify right side
    5,843.40x = 26,911,578.38
  5. Step 5: Solve for x
    x = 26,911,578.38/5,843.40
  6. Step 6: Final answer
    x = 4,605.47

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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.