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Finding the Fourth Proportional to 4,708.94, 6,498.53 and 2,584.55

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Solution

The fourth proportional to 4,708.94, 6,498.53 and 2,584.55 is: 3,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.94 : 6,498.53 = 2,584.55 : x
  2. Step 2: Convert to fraction form
    4,708.94/6,498.53 = 2,584.55/x
  3. Step 3: Cross multiply
    4,708.94x = 6,498.53 × 2,584.55
  4. Step 4: Simplify right side
    4,708.94x = 16,795,730.30
  5. Step 5: Solve for x
    x = 16,795,730.30/4,708.94
  6. Step 6: Final answer
    x = 3,566.78

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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.