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Finding the Fourth Proportional to 5,356.76, 7,391.44 and 3,365.90

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Solution

The fourth proportional to 5,356.76, 7,391.44 and 3,365.90 is: 4,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.76 : 7,391.44 = 3,365.90 : x
  2. Step 2: Convert to fraction form
    5,356.76/7,391.44 = 3,365.90/x
  3. Step 3: Cross multiply
    5,356.76x = 7,391.44 × 3,365.90
  4. Step 4: Simplify right side
    5,356.76x = 24,878,847.90
  5. Step 5: Solve for x
    x = 24,878,847.90/5,356.76
  6. Step 6: Final answer
    x = 4,644.38

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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.