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Finding the Fourth Proportional to 4,166.78, 5,750.86 and 2,398.01

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Solution

The fourth proportional to 4,166.78, 5,750.86 and 2,398.01 is: 3,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.78 : 5,750.86 = 2,398.01 : x
  2. Step 2: Convert to fraction form
    4,166.78/5,750.86 = 2,398.01/x
  3. Step 3: Cross multiply
    4,166.78x = 5,750.86 × 2,398.01
  4. Step 4: Simplify right side
    4,166.78x = 13,790,628.17
  5. Step 5: Solve for x
    x = 13,790,628.17/4,166.78
  6. Step 6: Final answer
    x = 3,309.66

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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.