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Finding the Fourth Proportional to 5,258.26, 7,256.16 and 2,868.17

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Solution

The fourth proportional to 5,258.26, 7,256.16 and 2,868.17 is: 3,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.26 : 7,256.16 = 2,868.17 : x
  2. Step 2: Convert to fraction form
    5,258.26/7,256.16 = 2,868.17/x
  3. Step 3: Cross multiply
    5,258.26x = 7,256.16 × 2,868.17
  4. Step 4: Simplify right side
    5,258.26x = 20,811,904.23
  5. Step 5: Solve for x
    x = 20,811,904.23/5,258.26
  6. Step 6: Final answer
    x = 3,957.95

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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.