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Finding the Fourth Proportional to 4,789.64, 6,608.34 and 2,874.68

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Solution

The fourth proportional to 4,789.64, 6,608.34 and 2,874.68 is: 3,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.64 : 6,608.34 = 2,874.68 : x
  2. Step 2: Convert to fraction form
    4,789.64/6,608.34 = 2,874.68/x
  3. Step 3: Cross multiply
    4,789.64x = 6,608.34 × 2,874.68
  4. Step 4: Simplify right side
    4,789.64x = 18,996,862.83
  5. Step 5: Solve for x
    x = 18,996,862.83/4,789.64
  6. Step 6: Final answer
    x = 3,966.24

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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.