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Finding the Fourth Proportional to 3,466.69, 5,200.03 and 1,158.19

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Solution

The fourth proportional to 3,466.69, 5,200.03 and 1,158.19 is: 1,737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.69 : 5,200.03 = 1,158.19 : x
  2. Step 2: Convert to fraction form
    3,466.69/5,200.03 = 1,158.19/x
  3. Step 3: Cross multiply
    3,466.69x = 5,200.03 × 1,158.19
  4. Step 4: Simplify right side
    3,466.69x = 6,022,611.19
  5. Step 5: Solve for x
    x = 6,022,611.19/3,466.69
  6. Step 6: Final answer
    x = 1,737.28

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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.