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Finding the Fourth Proportional to 5,799.06, 8,017.38 and 4,477.14

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Solution

The fourth proportional to 5,799.06, 8,017.38 and 4,477.14 is: 6,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.06 : 8,017.38 = 4,477.14 : x
  2. Step 2: Convert to fraction form
    5,799.06/8,017.38 = 4,477.14/x
  3. Step 3: Cross multiply
    5,799.06x = 8,017.38 × 4,477.14
  4. Step 4: Simplify right side
    5,799.06x = 35,894,932.69
  5. Step 5: Solve for x
    x = 35,894,932.69/5,799.06
  6. Step 6: Final answer
    x = 6,189.78

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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.