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Finding the Fourth Proportional to 5,965.68, 8,949.93 and 5,866.50

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Solution

The fourth proportional to 5,965.68, 8,949.93 and 5,866.50 is: 8,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.68 : 8,949.93 = 5,866.50 : x
  2. Step 2: Convert to fraction form
    5,965.68/8,949.93 = 5,866.50/x
  3. Step 3: Cross multiply
    5,965.68x = 8,949.93 × 5,866.50
  4. Step 4: Simplify right side
    5,965.68x = 52,504,764.35
  5. Step 5: Solve for x
    x = 52,504,764.35/5,965.68
  6. Step 6: Final answer
    x = 8,801.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.