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Finding the Fourth Proportional to 3,967.90, 5,475.72 and 2,199.54

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Solution

The fourth proportional to 3,967.90, 5,475.72 and 2,199.54 is: 3,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.90 : 5,475.72 = 2,199.54 : x
  2. Step 2: Convert to fraction form
    3,967.90/5,475.72 = 2,199.54/x
  3. Step 3: Cross multiply
    3,967.90x = 5,475.72 × 2,199.54
  4. Step 4: Simplify right side
    3,967.90x = 12,044,065.17
  5. Step 5: Solve for x
    x = 12,044,065.17/3,967.90
  6. Step 6: Final answer
    x = 3,035.38

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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.