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Finding the Fourth Proportional to 4,682.71, 7,023.72 and 1,908.59

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Solution

The fourth proportional to 4,682.71, 7,023.72 and 1,908.59 is: 2,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.71 : 7,023.72 = 1,908.59 : x
  2. Step 2: Convert to fraction form
    4,682.71/7,023.72 = 1,908.59/x
  3. Step 3: Cross multiply
    4,682.71x = 7,023.72 × 1,908.59
  4. Step 4: Simplify right side
    4,682.71x = 13,405,401.75
  5. Step 5: Solve for x
    x = 13,405,401.75/4,682.71
  6. Step 6: Final answer
    x = 2,862.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.