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Finding the Fourth Proportional to 5,798.28, 7,998.66 and 3,700.20

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Solution

The fourth proportional to 5,798.28, 7,998.66 and 3,700.20 is: 5,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.28 : 7,998.66 = 3,700.20 : x
  2. Step 2: Convert to fraction form
    5,798.28/7,998.66 = 3,700.20/x
  3. Step 3: Cross multiply
    5,798.28x = 7,998.66 × 3,700.20
  4. Step 4: Simplify right side
    5,798.28x = 29,596,641.73
  5. Step 5: Solve for x
    x = 29,596,641.73/5,798.28
  6. Step 6: Final answer
    x = 5,104.38

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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.