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Finding the Fourth Proportional to 3,967.66, 5,475.34 and 2,199.24

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Solution

The fourth proportional to 3,967.66, 5,475.34 and 2,199.24 is: 3,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.66 : 5,475.34 = 2,199.24 : x
  2. Step 2: Convert to fraction form
    3,967.66/5,475.34 = 2,199.24/x
  3. Step 3: Cross multiply
    3,967.66x = 5,475.34 × 2,199.24
  4. Step 4: Simplify right side
    3,967.66x = 12,041,586.74
  5. Step 5: Solve for x
    x = 12,041,586.74/3,967.66
  6. Step 6: Final answer
    x = 3,034.93

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