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Finding the Fourth Proportional to 3,601.80, 4,969.12 and 2,275

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Solution

The fourth proportional to 3,601.80, 4,969.12 and 2,275 is: 3,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.80 : 4,969.12 = 2,275 : x
  2. Step 2: Convert to fraction form
    3,601.80/4,969.12 = 2,275/x
  3. Step 3: Cross multiply
    3,601.80x = 4,969.12 × 2,275
  4. Step 4: Simplify right side
    3,601.80x = 11,304,748
  5. Step 5: Solve for x
    x = 11,304,748/3,601.80
  6. Step 6: Final answer
    x = 3,138.64

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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.