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Finding the Fourth Proportional to 5,369.22, 7,408.19 and 3,216.48

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Solution

The fourth proportional to 5,369.22, 7,408.19 and 3,216.48 is: 4,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.22 : 7,408.19 = 3,216.48 : x
  2. Step 2: Convert to fraction form
    5,369.22/7,408.19 = 3,216.48/x
  3. Step 3: Cross multiply
    5,369.22x = 7,408.19 × 3,216.48
  4. Step 4: Simplify right side
    5,369.22x = 23,828,275.23
  5. Step 5: Solve for x
    x = 23,828,275.23/5,369.22
  6. Step 6: Final answer
    x = 4,437.94

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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.