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Finding the Fourth Proportional to 5,230.88, 7,837.44 and 2,594.88

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Solution

The fourth proportional to 5,230.88, 7,837.44 and 2,594.88 is: 3,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.88 : 7,837.44 = 2,594.88 : x
  2. Step 2: Convert to fraction form
    5,230.88/7,837.44 = 2,594.88/x
  3. Step 3: Cross multiply
    5,230.88x = 7,837.44 × 2,594.88
  4. Step 4: Simplify right side
    5,230.88x = 20,337,216.31
  5. Step 5: Solve for x
    x = 20,337,216.31/5,230.88
  6. Step 6: Final answer
    x = 3,887.91

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1.5x scale

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.