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Finding the Fourth Proportional to 5,380.92, 8,071.02 and 1,683.42

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Solution

The fourth proportional to 5,380.92, 8,071.02 and 1,683.42 is: 2,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.92 : 8,071.02 = 1,683.42 : x
  2. Step 2: Convert to fraction form
    5,380.92/8,071.02 = 1,683.42/x
  3. Step 3: Cross multiply
    5,380.92x = 8,071.02 × 1,683.42
  4. Step 4: Simplify right side
    5,380.92x = 13,586,916.49
  5. Step 5: Solve for x
    x = 13,586,916.49/5,380.92
  6. Step 6: Final answer
    x = 2,525.02

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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.