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Finding the Fourth Proportional to 3,252.54, 4,875.78 and 2,314.56

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Solution

The fourth proportional to 3,252.54, 4,875.78 and 2,314.56 is: 3,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.54 : 4,875.78 = 2,314.56 : x
  2. Step 2: Convert to fraction form
    3,252.54/4,875.78 = 2,314.56/x
  3. Step 3: Cross multiply
    3,252.54x = 4,875.78 × 2,314.56
  4. Step 4: Simplify right side
    3,252.54x = 11,285,285.36
  5. Step 5: Solve for x
    x = 11,285,285.36/3,252.54
  6. Step 6: Final answer
    x = 3,469.68

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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.