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Finding the Fourth Proportional to 4,781.74, 7,172.60 and 1,494.83

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Solution

The fourth proportional to 4,781.74, 7,172.60 and 1,494.83 is: 2,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.74 : 7,172.60 = 1,494.83 : x
  2. Step 2: Convert to fraction form
    4,781.74/7,172.60 = 1,494.83/x
  3. Step 3: Cross multiply
    4,781.74x = 7,172.60 × 1,494.83
  4. Step 4: Simplify right side
    4,781.74x = 10,721,817.66
  5. Step 5: Solve for x
    x = 10,721,817.66/4,781.74
  6. Step 6: Final answer
    x = 2,242.24

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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.