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Finding the Fourth Proportional to 5,258.52, 7,256.63 and 2,868.54

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Solution

The fourth proportional to 5,258.52, 7,256.63 and 2,868.54 is: 3,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.52 : 7,256.63 = 2,868.54 : x
  2. Step 2: Convert to fraction form
    5,258.52/7,256.63 = 2,868.54/x
  3. Step 3: Cross multiply
    5,258.52x = 7,256.63 × 2,868.54
  4. Step 4: Simplify right side
    5,258.52x = 20,815,933.42
  5. Step 5: Solve for x
    x = 20,815,933.42/5,258.52
  6. Step 6: Final answer
    x = 3,958.52

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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.