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Finding the Fourth Proportional to 3,158.07, 4,737.38 and 1,209.21

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Solution

The fourth proportional to 3,158.07, 4,737.38 and 1,209.21 is: 1,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.07 : 4,737.38 = 1,209.21 : x
  2. Step 2: Convert to fraction form
    3,158.07/4,737.38 = 1,209.21/x
  3. Step 3: Cross multiply
    3,158.07x = 4,737.38 × 1,209.21
  4. Step 4: Simplify right side
    3,158.07x = 5,728,481.22
  5. Step 5: Solve for x
    x = 5,728,481.22/3,158.07
  6. Step 6: Final answer
    x = 1,813.92

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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.