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Finding the Fourth Proportional to 3,812.70, 5,719.50 and 1,347.02

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Solution

The fourth proportional to 3,812.70, 5,719.50 and 1,347.02 is: 2,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.70 : 5,719.50 = 1,347.02 : x
  2. Step 2: Convert to fraction form
    3,812.70/5,719.50 = 1,347.02/x
  3. Step 3: Cross multiply
    3,812.70x = 5,719.50 × 1,347.02
  4. Step 4: Simplify right side
    3,812.70x = 7,704,252.29
  5. Step 5: Solve for x
    x = 7,704,252.29/3,812.70
  6. Step 6: Final answer
    x = 2,020.68

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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.