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Finding the Fourth Proportional to 4,762.36, 7,139.22 and 2,682.28

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Solution

The fourth proportional to 4,762.36, 7,139.22 and 2,682.28 is: 4,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.36 : 7,139.22 = 2,682.28 : x
  2. Step 2: Convert to fraction form
    4,762.36/7,139.22 = 2,682.28/x
  3. Step 3: Cross multiply
    4,762.36x = 7,139.22 × 2,682.28
  4. Step 4: Simplify right side
    4,762.36x = 19,149,387.02
  5. Step 5: Solve for x
    x = 19,149,387.02/4,762.36
  6. Step 6: Final answer
    x = 4,020.99

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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.