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Finding the Fourth Proportional to 4,257.75, 6,389.54 and 1,484.42

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Solution

The fourth proportional to 4,257.75, 6,389.54 and 1,484.42 is: 2,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.75 : 6,389.54 = 1,484.42 : x
  2. Step 2: Convert to fraction form
    4,257.75/6,389.54 = 1,484.42/x
  3. Step 3: Cross multiply
    4,257.75x = 6,389.54 × 1,484.42
  4. Step 4: Simplify right side
    4,257.75x = 9,484,760.97
  5. Step 5: Solve for x
    x = 9,484,760.97/4,257.75
  6. Step 6: Final answer
    x = 2,227.65

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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.