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Finding the Fourth Proportional to 5,180.66, 7,773.11 and 3,801.02

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Solution

The fourth proportional to 5,180.66, 7,773.11 and 3,801.02 is: 5,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.66 : 7,773.11 = 3,801.02 : x
  2. Step 2: Convert to fraction form
    5,180.66/7,773.11 = 3,801.02/x
  3. Step 3: Cross multiply
    5,180.66x = 7,773.11 × 3,801.02
  4. Step 4: Simplify right side
    5,180.66x = 29,545,727.57
  5. Step 5: Solve for x
    x = 29,545,727.57/5,180.66
  6. Step 6: Final answer
    x = 5,703.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.