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Finding the Fourth Proportional to 5,397.66, 7,447.22 and 3,408.86

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Solution

The fourth proportional to 5,397.66, 7,447.22 and 3,408.86 is: 4,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.66 : 7,447.22 = 3,408.86 : x
  2. Step 2: Convert to fraction form
    5,397.66/7,447.22 = 3,408.86/x
  3. Step 3: Cross multiply
    5,397.66x = 7,447.22 × 3,408.86
  4. Step 4: Simplify right side
    5,397.66x = 25,386,530.37
  5. Step 5: Solve for x
    x = 25,386,530.37/5,397.66
  6. Step 6: Final answer
    x = 4,703.25

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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.