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Finding the Fourth Proportional to 6,570.24, 9,858.43 and 2,871.99

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Solution

The fourth proportional to 6,570.24, 9,858.43 and 2,871.99 is: 4,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.24 : 9,858.43 = 2,871.99 : x
  2. Step 2: Convert to fraction form
    6,570.24/9,858.43 = 2,871.99/x
  3. Step 3: Cross multiply
    6,570.24x = 9,858.43 × 2,871.99
  4. Step 4: Simplify right side
    6,570.24x = 28,313,324.04
  5. Step 5: Solve for x
    x = 28,313,324.04/6,570.24
  6. Step 6: Final answer
    x = 4,309.33

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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.