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Finding the Fourth Proportional to 5,743.37, 7,920.02 and 5,408.52

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Solution

The fourth proportional to 5,743.37, 7,920.02 and 5,408.52 is: 7,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.37 : 7,920.02 = 5,408.52 : x
  2. Step 2: Convert to fraction form
    5,743.37/7,920.02 = 5,408.52/x
  3. Step 3: Cross multiply
    5,743.37x = 7,920.02 × 5,408.52
  4. Step 4: Simplify right side
    5,743.37x = 42,835,559.53
  5. Step 5: Solve for x
    x = 42,835,559.53/5,743.37
  6. Step 6: Final answer
    x = 7,458.27

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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.