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Finding the Fourth Proportional to 3,599.80, 4,966.36 and 2,273

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Solution

The fourth proportional to 3,599.80, 4,966.36 and 2,273 is: 3,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.80 : 4,966.36 = 2,273 : x
  2. Step 2: Convert to fraction form
    3,599.80/4,966.36 = 2,273/x
  3. Step 3: Cross multiply
    3,599.80x = 4,966.36 × 2,273
  4. Step 4: Simplify right side
    3,599.80x = 11,288,536.28
  5. Step 5: Solve for x
    x = 11,288,536.28/3,599.80
  6. Step 6: Final answer
    x = 3,135.88

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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.