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Finding the Fourth Proportional to 3,279.99, 4,526.35 and 1,787.87

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Solution

The fourth proportional to 3,279.99, 4,526.35 and 1,787.87 is: 2,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.99 : 4,526.35 = 1,787.87 : x
  2. Step 2: Convert to fraction form
    3,279.99/4,526.35 = 1,787.87/x
  3. Step 3: Cross multiply
    3,279.99x = 4,526.35 × 1,787.87
  4. Step 4: Simplify right side
    3,279.99x = 8,092,525.56
  5. Step 5: Solve for x
    x = 8,092,525.56/3,279.99
  6. Step 6: Final answer
    x = 2,467.24

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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.