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Finding the Fourth Proportional to 4,709.05, 6,498.50 and 2,584.53

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Solution

The fourth proportional to 4,709.05, 6,498.50 and 2,584.53 is: 3,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.05 : 6,498.50 = 2,584.53 : x
  2. Step 2: Convert to fraction form
    4,709.05/6,498.50 = 2,584.53/x
  3. Step 3: Cross multiply
    4,709.05x = 6,498.50 × 2,584.53
  4. Step 4: Simplify right side
    4,709.05x = 16,795,555.28
  5. Step 5: Solve for x
    x = 16,795,555.28/4,709.05
  6. Step 6: Final answer
    x = 3,566.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.