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Finding the Fourth Proportional to 5,407.71, 8,111.57 and 2,122.35

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Solution

The fourth proportional to 5,407.71, 8,111.57 and 2,122.35 is: 3,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.71 : 8,111.57 = 2,122.35 : x
  2. Step 2: Convert to fraction form
    5,407.71/8,111.57 = 2,122.35/x
  3. Step 3: Cross multiply
    5,407.71x = 8,111.57 × 2,122.35
  4. Step 4: Simplify right side
    5,407.71x = 17,215,579.98
  5. Step 5: Solve for x
    x = 17,215,579.98/5,407.71
  6. Step 6: Final answer
    x = 3,183.53

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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.