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Finding the Fourth Proportional to 5,297.69, 7,978.26 and 4,824.77

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Solution

The fourth proportional to 5,297.69, 7,978.26 and 4,824.77 is: 7,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.69 : 7,978.26 = 4,824.77 : x
  2. Step 2: Convert to fraction form
    5,297.69/7,978.26 = 4,824.77/x
  3. Step 3: Cross multiply
    5,297.69x = 7,978.26 × 4,824.77
  4. Step 4: Simplify right side
    5,297.69x = 38,493,258.14
  5. Step 5: Solve for x
    x = 38,493,258.14/5,297.69
  6. Step 6: Final answer
    x = 7,266.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.