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Finding the Fourth Proportional to 3,438.79, 5,157.88 and 1,683.11

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Solution

The fourth proportional to 3,438.79, 5,157.88 and 1,683.11 is: 2,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.79 : 5,157.88 = 1,683.11 : x
  2. Step 2: Convert to fraction form
    3,438.79/5,157.88 = 1,683.11/x
  3. Step 3: Cross multiply
    3,438.79x = 5,157.88 × 1,683.11
  4. Step 4: Simplify right side
    3,438.79x = 8,681,288.09
  5. Step 5: Solve for x
    x = 8,681,288.09/3,438.79
  6. Step 6: Final answer
    x = 2,524.52

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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.