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Finding the Fourth Proportional to 5,111.71, 7,669.08 and 2,648.30

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Solution

The fourth proportional to 5,111.71, 7,669.08 and 2,648.30 is: 3,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.71 : 7,669.08 = 2,648.30 : x
  2. Step 2: Convert to fraction form
    5,111.71/7,669.08 = 2,648.30/x
  3. Step 3: Cross multiply
    5,111.71x = 7,669.08 × 2,648.30
  4. Step 4: Simplify right side
    5,111.71x = 20,309,986.22
  5. Step 5: Solve for x
    x = 20,309,986.22/5,111.71
  6. Step 6: Final answer
    x = 3,973.23

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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.