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Finding the Fourth Proportional to 4,162.64, 5,734.67 and 2,901.40

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Solution

The fourth proportional to 4,162.64, 5,734.67 and 2,901.40 is: 3,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.64 : 5,734.67 = 2,901.40 : x
  2. Step 2: Convert to fraction form
    4,162.64/5,734.67 = 2,901.40/x
  3. Step 3: Cross multiply
    4,162.64x = 5,734.67 × 2,901.40
  4. Step 4: Simplify right side
    4,162.64x = 16,638,571.54
  5. Step 5: Solve for x
    x = 16,638,571.54/4,162.64
  6. Step 6: Final answer
    x = 3,997.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.