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Finding the Fourth Proportional to 4,155.66, 5,737.68 and 3,209.91

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Solution

The fourth proportional to 4,155.66, 5,737.68 and 3,209.91 is: 4,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.66 : 5,737.68 = 3,209.91 : x
  2. Step 2: Convert to fraction form
    4,155.66/5,737.68 = 3,209.91/x
  3. Step 3: Cross multiply
    4,155.66x = 5,737.68 × 3,209.91
  4. Step 4: Simplify right side
    4,155.66x = 18,417,436.41
  5. Step 5: Solve for x
    x = 18,417,436.41/4,155.66
  6. Step 6: Final answer
    x = 4,431.89

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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.