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Finding the Fourth Proportional to 3,883.24, 5,358.90 and 2,114.88

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Solution

The fourth proportional to 3,883.24, 5,358.90 and 2,114.88 is: 2,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.24 : 5,358.90 = 2,114.88 : x
  2. Step 2: Convert to fraction form
    3,883.24/5,358.90 = 2,114.88/x
  3. Step 3: Cross multiply
    3,883.24x = 5,358.90 × 2,114.88
  4. Step 4: Simplify right side
    3,883.24x = 11,333,430.43
  5. Step 5: Solve for x
    x = 11,333,430.43/3,883.24
  6. Step 6: Final answer
    x = 2,918.55

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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.