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Finding the Fourth Proportional to 5,497.24, 8,245.78 and 1,799.48

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Solution

The fourth proportional to 5,497.24, 8,245.78 and 1,799.48 is: 2,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.24 : 8,245.78 = 1,799.48 : x
  2. Step 2: Convert to fraction form
    5,497.24/8,245.78 = 1,799.48/x
  3. Step 3: Cross multiply
    5,497.24x = 8,245.78 × 1,799.48
  4. Step 4: Simplify right side
    5,497.24x = 14,838,116.19
  5. Step 5: Solve for x
    x = 14,838,116.19/5,497.24
  6. Step 6: Final answer
    x = 2,699.19

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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.