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Finding the Fourth Proportional to 5,164.91, 7,743.04 and 2,393.57

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Solution

The fourth proportional to 5,164.91, 7,743.04 and 2,393.57 is: 3,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.91 : 7,743.04 = 2,393.57 : x
  2. Step 2: Convert to fraction form
    5,164.91/7,743.04 = 2,393.57/x
  3. Step 3: Cross multiply
    5,164.91x = 7,743.04 × 2,393.57
  4. Step 4: Simplify right side
    5,164.91x = 18,533,472.53
  5. Step 5: Solve for x
    x = 18,533,472.53/5,164.91
  6. Step 6: Final answer
    x = 3,588.34

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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.