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Finding the Fourth Proportional to 3,337.23, 5,005.89 and 872.05

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Solution

The fourth proportional to 3,337.23, 5,005.89 and 872.05 is: 1,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.23 : 5,005.89 = 872.05 : x
  2. Step 2: Convert to fraction form
    3,337.23/5,005.89 = 872.05/x
  3. Step 3: Cross multiply
    3,337.23x = 5,005.89 × 872.05
  4. Step 4: Simplify right side
    3,337.23x = 4,365,361.20
  5. Step 5: Solve for x
    x = 4,365,361.20/3,337.23
  6. Step 6: Final answer
    x = 1,308.08

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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.