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Finding the Fourth Proportional to 3,168.52, 4,369.14 and 2,224

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Solution

The fourth proportional to 3,168.52, 4,369.14 and 2,224 is: 3,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.52 : 4,369.14 = 2,224 : x
  2. Step 2: Convert to fraction form
    3,168.52/4,369.14 = 2,224/x
  3. Step 3: Cross multiply
    3,168.52x = 4,369.14 × 2,224
  4. Step 4: Simplify right side
    3,168.52x = 9,716,967.36
  5. Step 5: Solve for x
    x = 9,716,967.36/3,168.52
  6. Step 6: Final answer
    x = 3,066.72

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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.