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Finding the Fourth Proportional to 3,875.37, 5,812.17 and 1,101.97

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Solution

The fourth proportional to 3,875.37, 5,812.17 and 1,101.97 is: 1,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.37 : 5,812.17 = 1,101.97 : x
  2. Step 2: Convert to fraction form
    3,875.37/5,812.17 = 1,101.97/x
  3. Step 3: Cross multiply
    3,875.37x = 5,812.17 × 1,101.97
  4. Step 4: Simplify right side
    3,875.37x = 6,404,836.97
  5. Step 5: Solve for x
    x = 6,404,836.97/3,875.37
  6. Step 6: Final answer
    x = 1,652.70

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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.