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Finding the Fourth Proportional to 4,076.88, 5,626.16 and 2,213.88

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Solution

The fourth proportional to 4,076.88, 5,626.16 and 2,213.88 is: 3,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.88 : 5,626.16 = 2,213.88 : x
  2. Step 2: Convert to fraction form
    4,076.88/5,626.16 = 2,213.88/x
  3. Step 3: Cross multiply
    4,076.88x = 5,626.16 × 2,213.88
  4. Step 4: Simplify right side
    4,076.88x = 12,455,643.10
  5. Step 5: Solve for x
    x = 12,455,643.10/4,076.88
  6. Step 6: Final answer
    x = 3,055.19

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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.