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Finding the Fourth Proportional to 5,669.37, 7,793.47 and 5,065.53

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Solution

The fourth proportional to 5,669.37, 7,793.47 and 5,065.53 is: 6,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.37 : 7,793.47 = 5,065.53 : x
  2. Step 2: Convert to fraction form
    5,669.37/7,793.47 = 5,065.53/x
  3. Step 3: Cross multiply
    5,669.37x = 7,793.47 × 5,065.53
  4. Step 4: Simplify right side
    5,669.37x = 39,478,043.43
  5. Step 5: Solve for x
    x = 39,478,043.43/5,669.37
  6. Step 6: Final answer
    x = 6,963.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.