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Finding the Fourth Proportional to 4,066.69, 5,612 and 2,274.16

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Solution

The fourth proportional to 4,066.69, 5,612 and 2,274.16 is: 3,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.69 : 5,612 = 2,274.16 : x
  2. Step 2: Convert to fraction form
    4,066.69/5,612 = 2,274.16/x
  3. Step 3: Cross multiply
    4,066.69x = 5,612 × 2,274.16
  4. Step 4: Simplify right side
    4,066.69x = 12,762,585.92
  5. Step 5: Solve for x
    x = 12,762,585.92/4,066.69
  6. Step 6: Final answer
    x = 3,138.33

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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.