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Finding the Fourth Proportional to 3,288.87, 4,538.70 and 1,872.72

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Solution

The fourth proportional to 3,288.87, 4,538.70 and 1,872.72 is: 2,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.87 : 4,538.70 = 1,872.72 : x
  2. Step 2: Convert to fraction form
    3,288.87/4,538.70 = 1,872.72/x
  3. Step 3: Cross multiply
    3,288.87x = 4,538.70 × 1,872.72
  4. Step 4: Simplify right side
    3,288.87x = 8,499,714.26
  5. Step 5: Solve for x
    x = 8,499,714.26/3,288.87
  6. Step 6: Final answer
    x = 2,584.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.