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Finding the Fourth Proportional to 3,248.25, 4,864.41 and 3,165.63

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Solution

The fourth proportional to 3,248.25, 4,864.41 and 3,165.63 is: 4,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.25 : 4,864.41 = 3,165.63 : x
  2. Step 2: Convert to fraction form
    3,248.25/4,864.41 = 3,165.63/x
  3. Step 3: Cross multiply
    3,248.25x = 4,864.41 × 3,165.63
  4. Step 4: Simplify right side
    3,248.25x = 15,398,922.23
  5. Step 5: Solve for x
    x = 15,398,922.23/3,248.25
  6. Step 6: Final answer
    x = 4,740.68

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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.