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Finding the Fourth Proportional to 5,743.18, 7,919.76 and 5,408.33

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Solution

The fourth proportional to 5,743.18, 7,919.76 and 5,408.33 is: 7,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.18 : 7,919.76 = 5,408.33 : x
  2. Step 2: Convert to fraction form
    5,743.18/7,919.76 = 5,408.33/x
  3. Step 3: Cross multiply
    5,743.18x = 7,919.76 × 5,408.33
  4. Step 4: Simplify right side
    5,743.18x = 42,832,648.56
  5. Step 5: Solve for x
    x = 42,832,648.56/5,743.18
  6. Step 6: Final answer
    x = 7,458.00

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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.