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Finding the Fourth Proportional to 4,679.69, 6,457.97 and 2,583.95

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Solution

The fourth proportional to 4,679.69, 6,457.97 and 2,583.95 is: 3,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.69 : 6,457.97 = 2,583.95 : x
  2. Step 2: Convert to fraction form
    4,679.69/6,457.97 = 2,583.95/x
  3. Step 3: Cross multiply
    4,679.69x = 6,457.97 × 2,583.95
  4. Step 4: Simplify right side
    4,679.69x = 16,687,055.44
  5. Step 5: Solve for x
    x = 16,687,055.44/4,679.69
  6. Step 6: Final answer
    x = 3,565.85

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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.