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Finding the Fourth Proportional to 5,771.82, 8,665.02 and 4,616.22

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Solution

The fourth proportional to 5,771.82, 8,665.02 and 4,616.22 is: 6,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.82 : 8,665.02 = 4,616.22 : x
  2. Step 2: Convert to fraction form
    5,771.82/8,665.02 = 4,616.22/x
  3. Step 3: Cross multiply
    5,771.82x = 8,665.02 × 4,616.22
  4. Step 4: Simplify right side
    5,771.82x = 39,999,638.62
  5. Step 5: Solve for x
    x = 39,999,638.62/5,771.82
  6. Step 6: Final answer
    x = 6,930.16

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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.