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Finding the Fourth Proportional to 3,599.68, 4,969.46 and 2,324.34

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Solution

The fourth proportional to 3,599.68, 4,969.46 and 2,324.34 is: 3,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.68 : 4,969.46 = 2,324.34 : x
  2. Step 2: Convert to fraction form
    3,599.68/4,969.46 = 2,324.34/x
  3. Step 3: Cross multiply
    3,599.68x = 4,969.46 × 2,324.34
  4. Step 4: Simplify right side
    3,599.68x = 11,550,714.66
  5. Step 5: Solve for x
    x = 11,550,714.66/3,599.68
  6. Step 6: Final answer
    x = 3,208.82

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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.