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Finding the Fourth Proportional to 5,938.99, 8,199.07 and 4,053.38

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Solution

The fourth proportional to 5,938.99, 8,199.07 and 4,053.38 is: 5,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.99 : 8,199.07 = 4,053.38 : x
  2. Step 2: Convert to fraction form
    5,938.99/8,199.07 = 4,053.38/x
  3. Step 3: Cross multiply
    5,938.99x = 8,199.07 × 4,053.38
  4. Step 4: Simplify right side
    5,938.99x = 33,233,895.23
  5. Step 5: Solve for x
    x = 33,233,895.23/5,938.99
  6. Step 6: Final answer
    x = 5,595.89

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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.