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Finding the Fourth Proportional to 5,588.04, 7,709.94 and 3,198

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Solution

The fourth proportional to 5,588.04, 7,709.94 and 3,198 is: 4,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.04 : 7,709.94 = 3,198 : x
  2. Step 2: Convert to fraction form
    5,588.04/7,709.94 = 3,198/x
  3. Step 3: Cross multiply
    5,588.04x = 7,709.94 × 3,198
  4. Step 4: Simplify right side
    5,588.04x = 24,656,388.12
  5. Step 5: Solve for x
    x = 24,656,388.12/5,588.04
  6. Step 6: Final answer
    x = 4,412.35

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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.