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Finding the Fourth Proportional to 5,314.88, 7,961.39 and 3,118.32

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Solution

The fourth proportional to 5,314.88, 7,961.39 and 3,118.32 is: 4,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.88 : 7,961.39 = 3,118.32 : x
  2. Step 2: Convert to fraction form
    5,314.88/7,961.39 = 3,118.32/x
  3. Step 3: Cross multiply
    5,314.88x = 7,961.39 × 3,118.32
  4. Step 4: Simplify right side
    5,314.88x = 24,826,146.07
  5. Step 5: Solve for x
    x = 24,826,146.07/5,314.88
  6. Step 6: Final answer
    x = 4,671.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.