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Finding the Fourth Proportional to 5,212.66, 7,193.48 and 2,822.66

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Solution

The fourth proportional to 5,212.66, 7,193.48 and 2,822.66 is: 3,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.66 : 7,193.48 = 2,822.66 : x
  2. Step 2: Convert to fraction form
    5,212.66/7,193.48 = 2,822.66/x
  3. Step 3: Cross multiply
    5,212.66x = 7,193.48 × 2,822.66
  4. Step 4: Simplify right side
    5,212.66x = 20,304,748.26
  5. Step 5: Solve for x
    x = 20,304,748.26/5,212.66
  6. Step 6: Final answer
    x = 3,895.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.