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Finding the Fourth Proportional to 4,214.07, 5,815.43 and 2,351.07

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Solution

The fourth proportional to 4,214.07, 5,815.43 and 2,351.07 is: 3,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.07 : 5,815.43 = 2,351.07 : x
  2. Step 2: Convert to fraction form
    4,214.07/5,815.43 = 2,351.07/x
  3. Step 3: Cross multiply
    4,214.07x = 5,815.43 × 2,351.07
  4. Step 4: Simplify right side
    4,214.07x = 13,672,471.25
  5. Step 5: Solve for x
    x = 13,672,471.25/4,214.07
  6. Step 6: Final answer
    x = 3,244.48

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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.