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Finding the Fourth Proportional to 4,170.40, 5,754.18 and 2,846.86

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Solution

The fourth proportional to 4,170.40, 5,754.18 and 2,846.86 is: 3,928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.40 : 5,754.18 = 2,846.86 : x
  2. Step 2: Convert to fraction form
    4,170.40/5,754.18 = 2,846.86/x
  3. Step 3: Cross multiply
    4,170.40x = 5,754.18 × 2,846.86
  4. Step 4: Simplify right side
    4,170.40x = 16,381,344.87
  5. Step 5: Solve for x
    x = 16,381,344.87/4,170.40
  6. Step 6: Final answer
    x = 3,928.00

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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.