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Finding the Fourth Proportional to 5,258.69, 7,256.97 and 2,868.62

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Solution

The fourth proportional to 5,258.69, 7,256.97 and 2,868.62 is: 3,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.69 : 7,256.97 = 2,868.62 : x
  2. Step 2: Convert to fraction form
    5,258.69/7,256.97 = 2,868.62/x
  3. Step 3: Cross multiply
    5,258.69x = 7,256.97 × 2,868.62
  4. Step 4: Simplify right side
    5,258.69x = 20,817,506.16
  5. Step 5: Solve for x
    x = 20,817,506.16/5,258.69
  6. Step 6: Final answer
    x = 3,958.69

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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.