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Finding the Fourth Proportional to 4,155.96, 5,737.34 and 3,209.62

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Solution

The fourth proportional to 4,155.96, 5,737.34 and 3,209.62 is: 4,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.96 : 5,737.34 = 3,209.62 : x
  2. Step 2: Convert to fraction form
    4,155.96/5,737.34 = 3,209.62/x
  3. Step 3: Cross multiply
    4,155.96x = 5,737.34 × 3,209.62
  4. Step 4: Simplify right side
    4,155.96x = 18,414,681.21
  5. Step 5: Solve for x
    x = 18,414,681.21/4,155.96
  6. Step 6: Final answer
    x = 4,430.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.