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Finding the Fourth Proportional to 5,400.81, 7,456.56 and 4,408.47

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Solution

The fourth proportional to 5,400.81, 7,456.56 and 4,408.47 is: 6,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.81 : 7,456.56 = 4,408.47 : x
  2. Step 2: Convert to fraction form
    5,400.81/7,456.56 = 4,408.47/x
  3. Step 3: Cross multiply
    5,400.81x = 7,456.56 × 4,408.47
  4. Step 4: Simplify right side
    5,400.81x = 32,872,021.06
  5. Step 5: Solve for x
    x = 32,872,021.06/5,400.81
  6. Step 6: Final answer
    x = 6,086.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.