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Finding the Fourth Proportional to 4,398.66, 6,590.97 and 3,223.22

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Solution

The fourth proportional to 4,398.66, 6,590.97 and 3,223.22 is: 4,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398.66 : 6,590.97 = 3,223.22 : x
  2. Step 2: Convert to fraction form
    4,398.66/6,590.97 = 3,223.22/x
  3. Step 3: Cross multiply
    4,398.66x = 6,590.97 × 3,223.22
  4. Step 4: Simplify right side
    4,398.66x = 21,244,113.37
  5. Step 5: Solve for x
    x = 21,244,113.37/4,398.66
  6. Step 6: Final answer
    x = 4,829.68

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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.