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Finding the Fourth Proportional to 4,170.70, 5,755.68 and 2,378.50

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Solution

The fourth proportional to 4,170.70, 5,755.68 and 2,378.50 is: 3,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.70 : 5,755.68 = 2,378.50 : x
  2. Step 2: Convert to fraction form
    4,170.70/5,755.68 = 2,378.50/x
  3. Step 3: Cross multiply
    4,170.70x = 5,755.68 × 2,378.50
  4. Step 4: Simplify right side
    4,170.70x = 13,689,884.88
  5. Step 5: Solve for x
    x = 13,689,884.88/4,170.70
  6. Step 6: Final answer
    x = 3,282.40

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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.