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Finding the Fourth Proportional to 5,776.30, 7,971.38 and 3,258.52

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Solution

The fourth proportional to 5,776.30, 7,971.38 and 3,258.52 is: 4,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.30 : 7,971.38 = 3,258.52 : x
  2. Step 2: Convert to fraction form
    5,776.30/7,971.38 = 3,258.52/x
  3. Step 3: Cross multiply
    5,776.30x = 7,971.38 × 3,258.52
  4. Step 4: Simplify right side
    5,776.30x = 25,974,901.16
  5. Step 5: Solve for x
    x = 25,974,901.16/5,776.30
  6. Step 6: Final answer
    x = 4,496.81

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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.