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Finding the Fourth Proportional to 5,580.19, 7,699.83 and 3,593.42

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Solution

The fourth proportional to 5,580.19, 7,699.83 and 3,593.42 is: 4,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.19 : 7,699.83 = 3,593.42 : x
  2. Step 2: Convert to fraction form
    5,580.19/7,699.83 = 3,593.42/x
  3. Step 3: Cross multiply
    5,580.19x = 7,699.83 × 3,593.42
  4. Step 4: Simplify right side
    5,580.19x = 27,668,723.12
  5. Step 5: Solve for x
    x = 27,668,723.12/5,580.19
  6. Step 6: Final answer
    x = 4,958.38

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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.