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Finding the Fourth Proportional to 5,903.05, 8,856 and 1,742.97

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Solution

The fourth proportional to 5,903.05, 8,856 and 1,742.97 is: 2,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.05 : 8,856 = 1,742.97 : x
  2. Step 2: Convert to fraction form
    5,903.05/8,856 = 1,742.97/x
  3. Step 3: Cross multiply
    5,903.05x = 8,856 × 1,742.97
  4. Step 4: Simplify right side
    5,903.05x = 15,435,742.32
  5. Step 5: Solve for x
    x = 15,435,742.32/5,903.05
  6. Step 6: Final answer
    x = 2,614.88

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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.