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Finding the Fourth Proportional to 5,595.72, 7,722.96 and 3,471.63

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Solution

The fourth proportional to 5,595.72, 7,722.96 and 3,471.63 is: 4,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.72 : 7,722.96 = 3,471.63 : x
  2. Step 2: Convert to fraction form
    5,595.72/7,722.96 = 3,471.63/x
  3. Step 3: Cross multiply
    5,595.72x = 7,722.96 × 3,471.63
  4. Step 4: Simplify right side
    5,595.72x = 26,811,259.62
  5. Step 5: Solve for x
    x = 26,811,259.62/5,595.72
  6. Step 6: Final answer
    x = 4,791.39

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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.