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Finding the Fourth Proportional to 4,781.46, 7,172.21 and 4,165.63

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Solution

The fourth proportional to 4,781.46, 7,172.21 and 4,165.63 is: 6,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.46 : 7,172.21 = 4,165.63 : x
  2. Step 2: Convert to fraction form
    4,781.46/7,172.21 = 4,165.63/x
  3. Step 3: Cross multiply
    4,781.46x = 7,172.21 × 4,165.63
  4. Step 4: Simplify right side
    4,781.46x = 29,876,765.63
  5. Step 5: Solve for x
    x = 29,876,765.63/4,781.46
  6. Step 6: Final answer
    x = 6,248.46

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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.