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Finding the Fourth Proportional to 5,957.62, 8,933 and 2,257.49

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Solution

The fourth proportional to 5,957.62, 8,933 and 2,257.49 is: 3,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.62 : 8,933 = 2,257.49 : x
  2. Step 2: Convert to fraction form
    5,957.62/8,933 = 2,257.49/x
  3. Step 3: Cross multiply
    5,957.62x = 8,933 × 2,257.49
  4. Step 4: Simplify right side
    5,957.62x = 20,166,113.51
  5. Step 5: Solve for x
    x = 20,166,113.51/5,957.62
  6. Step 6: Final answer
    x = 3,384.93

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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.