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Finding the Fourth Proportional to 5,493.85, 7,582.27 and 3,369.01

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Solution

The fourth proportional to 5,493.85, 7,582.27 and 3,369.01 is: 4,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.85 : 7,582.27 = 3,369.01 : x
  2. Step 2: Convert to fraction form
    5,493.85/7,582.27 = 3,369.01/x
  3. Step 3: Cross multiply
    5,493.85x = 7,582.27 × 3,369.01
  4. Step 4: Simplify right side
    5,493.85x = 25,544,743.45
  5. Step 5: Solve for x
    x = 25,544,743.45/5,493.85
  6. Step 6: Final answer
    x = 4,649.70

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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.