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Finding the Fourth Proportional to 3,671.30, 5,507.22 and 1,822.88

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Solution

The fourth proportional to 3,671.30, 5,507.22 and 1,822.88 is: 2,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.30 : 5,507.22 = 1,822.88 : x
  2. Step 2: Convert to fraction form
    3,671.30/5,507.22 = 1,822.88/x
  3. Step 3: Cross multiply
    3,671.30x = 5,507.22 × 1,822.88
  4. Step 4: Simplify right side
    3,671.30x = 10,039,001.19
  5. Step 5: Solve for x
    x = 10,039,001.19/3,671.30
  6. Step 6: Final answer
    x = 2,734.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.