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Finding the Fourth Proportional to 4,679.73, 6,458.04 and 2,583.90

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Solution

The fourth proportional to 4,679.73, 6,458.04 and 2,583.90 is: 3,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.73 : 6,458.04 = 2,583.90 : x
  2. Step 2: Convert to fraction form
    4,679.73/6,458.04 = 2,583.90/x
  3. Step 3: Cross multiply
    4,679.73x = 6,458.04 × 2,583.90
  4. Step 4: Simplify right side
    4,679.73x = 16,686,929.56
  5. Step 5: Solve for x
    x = 16,686,929.56/4,679.73
  6. Step 6: Final answer
    x = 3,565.79

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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.