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Finding the Fourth Proportional to 3,707.64, 5,114.16 and 2,214.41

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Solution

The fourth proportional to 3,707.64, 5,114.16 and 2,214.41 is: 3,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.64 : 5,114.16 = 2,214.41 : x
  2. Step 2: Convert to fraction form
    3,707.64/5,114.16 = 2,214.41/x
  3. Step 3: Cross multiply
    3,707.64x = 5,114.16 × 2,214.41
  4. Step 4: Simplify right side
    3,707.64x = 11,324,847.05
  5. Step 5: Solve for x
    x = 11,324,847.05/3,707.64
  6. Step 6: Final answer
    x = 3,054.46

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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.