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Finding the Fourth Proportional to 5,764.57, 7,955.02 and 3,246.93

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Solution

The fourth proportional to 5,764.57, 7,955.02 and 3,246.93 is: 4,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.57 : 7,955.02 = 3,246.93 : x
  2. Step 2: Convert to fraction form
    5,764.57/7,955.02 = 3,246.93/x
  3. Step 3: Cross multiply
    5,764.57x = 7,955.02 × 3,246.93
  4. Step 4: Simplify right side
    5,764.57x = 25,829,393.09
  5. Step 5: Solve for x
    x = 25,829,393.09/5,764.57
  6. Step 6: Final answer
    x = 4,480.71

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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.