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Finding the Fourth Proportional to 5,843.51, 8,767.81 and 3,069.53

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Solution

The fourth proportional to 5,843.51, 8,767.81 and 3,069.53 is: 4,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.51 : 8,767.81 = 3,069.53 : x
  2. Step 2: Convert to fraction form
    5,843.51/8,767.81 = 3,069.53/x
  3. Step 3: Cross multiply
    5,843.51x = 8,767.81 × 3,069.53
  4. Step 4: Simplify right side
    5,843.51x = 26,913,048.71
  5. Step 5: Solve for x
    x = 26,913,048.71/5,843.51
  6. Step 6: Final answer
    x = 4,605.63

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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.