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Finding the Fourth Proportional to 4,170.49, 5,755.46 and 3,215.50

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Solution

The fourth proportional to 4,170.49, 5,755.46 and 3,215.50 is: 4,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.49 : 5,755.46 = 3,215.50 : x
  2. Step 2: Convert to fraction form
    4,170.49/5,755.46 = 3,215.50/x
  3. Step 3: Cross multiply
    4,170.49x = 5,755.46 × 3,215.50
  4. Step 4: Simplify right side
    4,170.49x = 18,506,651.16
  5. Step 5: Solve for x
    x = 18,506,651.16/4,170.49
  6. Step 6: Final answer
    x = 4,437.53

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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.