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Finding the Fourth Proportional to 4,166.24, 5,751.96 and 3,770

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Solution

The fourth proportional to 4,166.24, 5,751.96 and 3,770 is: 5,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.24 : 5,751.96 = 3,770 : x
  2. Step 2: Convert to fraction form
    4,166.24/5,751.96 = 3,770/x
  3. Step 3: Cross multiply
    4,166.24x = 5,751.96 × 3,770
  4. Step 4: Simplify right side
    4,166.24x = 21,684,889.20
  5. Step 5: Solve for x
    x = 21,684,889.20/4,166.24
  6. Step 6: Final answer
    x = 5,204.91

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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.