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Finding the Fourth Proportional to 5,172.73, 7,760.24 and 1,885.81

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Solution

The fourth proportional to 5,172.73, 7,760.24 and 1,885.81 is: 2,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.73 : 7,760.24 = 1,885.81 : x
  2. Step 2: Convert to fraction form
    5,172.73/7,760.24 = 1,885.81/x
  3. Step 3: Cross multiply
    5,172.73x = 7,760.24 × 1,885.81
  4. Step 4: Simplify right side
    5,172.73x = 14,634,345.54
  5. Step 5: Solve for x
    x = 14,634,345.54/5,172.73
  6. Step 6: Final answer
    x = 2,829.14

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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.