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Finding the Fourth Proportional to 4,166.11, 5,749.86 and 2,594.71

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Solution

The fourth proportional to 4,166.11, 5,749.86 and 2,594.71 is: 3,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.11 : 5,749.86 = 2,594.71 : x
  2. Step 2: Convert to fraction form
    4,166.11/5,749.86 = 2,594.71/x
  3. Step 3: Cross multiply
    4,166.11x = 5,749.86 × 2,594.71
  4. Step 4: Simplify right side
    4,166.11x = 14,919,219.24
  5. Step 5: Solve for x
    x = 14,919,219.24/4,166.11
  6. Step 6: Final answer
    x = 3,581.09

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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.