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Finding the Fourth Proportional to 4,166.68, 5,750.19 and 2,398.29

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Solution

The fourth proportional to 4,166.68, 5,750.19 and 2,398.29 is: 3,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.68 : 5,750.19 = 2,398.29 : x
  2. Step 2: Convert to fraction form
    4,166.68/5,750.19 = 2,398.29/x
  3. Step 3: Cross multiply
    4,166.68x = 5,750.19 × 2,398.29
  4. Step 4: Simplify right side
    4,166.68x = 13,790,623.18
  5. Step 5: Solve for x
    x = 13,790,623.18/4,166.68
  6. Step 6: Final answer
    x = 3,309.74

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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.