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Finding the Fourth Proportional to 4,679.75, 6,458.04 and 2,583.87

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Solution

The fourth proportional to 4,679.75, 6,458.04 and 2,583.87 is: 3,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.75 : 6,458.04 = 2,583.87 : x
  2. Step 2: Convert to fraction form
    4,679.75/6,458.04 = 2,583.87/x
  3. Step 3: Cross multiply
    4,679.75x = 6,458.04 × 2,583.87
  4. Step 4: Simplify right side
    4,679.75x = 16,686,735.81
  5. Step 5: Solve for x
    x = 16,686,735.81/4,679.75
  6. Step 6: Final answer
    x = 3,565.74

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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.