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Finding the Fourth Proportional to 4,095.84, 5,649.21 and 3,209.88

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Solution

The fourth proportional to 4,095.84, 5,649.21 and 3,209.88 is: 4,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.84 : 5,649.21 = 3,209.88 : x
  2. Step 2: Convert to fraction form
    4,095.84/5,649.21 = 3,209.88/x
  3. Step 3: Cross multiply
    4,095.84x = 5,649.21 × 3,209.88
  4. Step 4: Simplify right side
    4,095.84x = 18,133,286.19
  5. Step 5: Solve for x
    x = 18,133,286.19/4,095.84
  6. Step 6: Final answer
    x = 4,427.24

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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.