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Finding the Fourth Proportional to 3,873.11, 5,807.61 and 1,533.02

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Solution

The fourth proportional to 3,873.11, 5,807.61 and 1,533.02 is: 2,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.11 : 5,807.61 = 1,533.02 : x
  2. Step 2: Convert to fraction form
    3,873.11/5,807.61 = 1,533.02/x
  3. Step 3: Cross multiply
    3,873.11x = 5,807.61 × 1,533.02
  4. Step 4: Simplify right side
    3,873.11x = 8,903,174.62
  5. Step 5: Solve for x
    x = 8,903,174.62/3,873.11
  6. Step 6: Final answer
    x = 2,298.71

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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.