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Finding the Fourth Proportional to 5,393.09, 7,441.95 and 3,977.54

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Solution

The fourth proportional to 5,393.09, 7,441.95 and 3,977.54 is: 5,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.09 : 7,441.95 = 3,977.54 : x
  2. Step 2: Convert to fraction form
    5,393.09/7,441.95 = 3,977.54/x
  3. Step 3: Cross multiply
    5,393.09x = 7,441.95 × 3,977.54
  4. Step 4: Simplify right side
    5,393.09x = 29,600,687.32
  5. Step 5: Solve for x
    x = 29,600,687.32/5,393.09
  6. Step 6: Final answer
    x = 5,488.64

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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.