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Finding the Fourth Proportional to 3,920.75, 5,408.91 and 2,347.93

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Solution

The fourth proportional to 3,920.75, 5,408.91 and 2,347.93 is: 3,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.75 : 5,408.91 = 2,347.93 : x
  2. Step 2: Convert to fraction form
    3,920.75/5,408.91 = 2,347.93/x
  3. Step 3: Cross multiply
    3,920.75x = 5,408.91 × 2,347.93
  4. Step 4: Simplify right side
    3,920.75x = 12,699,742.06
  5. Step 5: Solve for x
    x = 12,699,742.06/3,920.75
  6. Step 6: Final answer
    x = 3,239.11

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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.