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Finding the Fourth Proportional to 5,113.25, 7,671.32 and 4,231.63

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Solution

The fourth proportional to 5,113.25, 7,671.32 and 4,231.63 is: 6,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.25 : 7,671.32 = 4,231.63 : x
  2. Step 2: Convert to fraction form
    5,113.25/7,671.32 = 4,231.63/x
  3. Step 3: Cross multiply
    5,113.25x = 7,671.32 × 4,231.63
  4. Step 4: Simplify right side
    5,113.25x = 32,462,187.85
  5. Step 5: Solve for x
    x = 32,462,187.85/5,113.25
  6. Step 6: Final answer
    x = 6,348.64

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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.