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Finding the Fourth Proportional to 4,998.82, 7,498.22 and 2,038.50

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Solution

The fourth proportional to 4,998.82, 7,498.22 and 2,038.50 is: 3,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.82 : 7,498.22 = 2,038.50 : x
  2. Step 2: Convert to fraction form
    4,998.82/7,498.22 = 2,038.50/x
  3. Step 3: Cross multiply
    4,998.82x = 7,498.22 × 2,038.50
  4. Step 4: Simplify right side
    4,998.82x = 15,285,121.47
  5. Step 5: Solve for x
    x = 15,285,121.47/4,998.82
  6. Step 6: Final answer
    x = 3,057.75

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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.