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Finding the Fourth Proportional to 4,166.17, 6,251.30 and 1,825.86

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Solution

The fourth proportional to 4,166.17, 6,251.30 and 1,825.86 is: 2,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.17 : 6,251.30 = 1,825.86 : x
  2. Step 2: Convert to fraction form
    4,166.17/6,251.30 = 1,825.86/x
  3. Step 3: Cross multiply
    4,166.17x = 6,251.30 × 1,825.86
  4. Step 4: Simplify right side
    4,166.17x = 11,413,966.05
  5. Step 5: Solve for x
    x = 11,413,966.05/4,166.17
  6. Step 6: Final answer
    x = 2,739.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.