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Finding the Fourth Proportional to 5,357.82, 8,037.98 and 1,659.86

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Solution

The fourth proportional to 5,357.82, 8,037.98 and 1,659.86 is: 2,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.82 : 8,037.98 = 1,659.86 : x
  2. Step 2: Convert to fraction form
    5,357.82/8,037.98 = 1,659.86/x
  3. Step 3: Cross multiply
    5,357.82x = 8,037.98 × 1,659.86
  4. Step 4: Simplify right side
    5,357.82x = 13,341,872.99
  5. Step 5: Solve for x
    x = 13,341,872.99/5,357.82
  6. Step 6: Final answer
    x = 2,490.17

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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.