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Finding the Fourth Proportional to 5,172.12, 7,758.17 and 1,883.87

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Solution

The fourth proportional to 5,172.12, 7,758.17 and 1,883.87 is: 2,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.12 : 7,758.17 = 1,883.87 : x
  2. Step 2: Convert to fraction form
    5,172.12/7,758.17 = 1,883.87/x
  3. Step 3: Cross multiply
    5,172.12x = 7,758.17 × 1,883.87
  4. Step 4: Simplify right side
    5,172.12x = 14,615,383.72
  5. Step 5: Solve for x
    x = 14,615,383.72/5,172.12
  6. Step 6: Final answer
    x = 2,825.80

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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.