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Finding the Fourth Proportional to 5,768.62, 8,656.05 and 4,033.90

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Solution

The fourth proportional to 5,768.62, 8,656.05 and 4,033.90 is: 6,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.62 : 8,656.05 = 4,033.90 : x
  2. Step 2: Convert to fraction form
    5,768.62/8,656.05 = 4,033.90/x
  3. Step 3: Cross multiply
    5,768.62x = 8,656.05 × 4,033.90
  4. Step 4: Simplify right side
    5,768.62x = 34,917,640.10
  5. Step 5: Solve for x
    x = 34,917,640.10/5,768.62
  6. Step 6: Final answer
    x = 6,053.03

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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.