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Finding the Fourth Proportional to 5,257.55, 7,256.27 and 3,133.34

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Solution

The fourth proportional to 5,257.55, 7,256.27 and 3,133.34 is: 4,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.55 : 7,256.27 = 3,133.34 : x
  2. Step 2: Convert to fraction form
    5,257.55/7,256.27 = 3,133.34/x
  3. Step 3: Cross multiply
    5,257.55x = 7,256.27 × 3,133.34
  4. Step 4: Simplify right side
    5,257.55x = 22,736,309.09
  5. Step 5: Solve for x
    x = 22,736,309.09/5,257.55
  6. Step 6: Final answer
    x = 4,324.51

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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.