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Finding the Fourth Proportional to 5,764.99, 7,954.08 and 3,246.95

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Solution

The fourth proportional to 5,764.99, 7,954.08 and 3,246.95 is: 4,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.99 : 7,954.08 = 3,246.95 : x
  2. Step 2: Convert to fraction form
    5,764.99/7,954.08 = 3,246.95/x
  3. Step 3: Cross multiply
    5,764.99x = 7,954.08 × 3,246.95
  4. Step 4: Simplify right side
    5,764.99x = 25,826,500.06
  5. Step 5: Solve for x
    x = 25,826,500.06/5,764.99
  6. Step 6: Final answer
    x = 4,479.89

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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.