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Finding the Fourth Proportional to 5,155.64, 7,111.26 and 3,291.80

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Solution

The fourth proportional to 5,155.64, 7,111.26 and 3,291.80 is: 4,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.64 : 7,111.26 = 3,291.80 : x
  2. Step 2: Convert to fraction form
    5,155.64/7,111.26 = 3,291.80/x
  3. Step 3: Cross multiply
    5,155.64x = 7,111.26 × 3,291.80
  4. Step 4: Simplify right side
    5,155.64x = 23,408,845.67
  5. Step 5: Solve for x
    x = 23,408,845.67/5,155.64
  6. Step 6: Final answer
    x = 4,540.43

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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.