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Finding the Fourth Proportional to 5,776.43, 7,971.45 and 3,258.53

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Solution

The fourth proportional to 5,776.43, 7,971.45 and 3,258.53 is: 4,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.43 : 7,971.45 = 3,258.53 : x
  2. Step 2: Convert to fraction form
    5,776.43/7,971.45 = 3,258.53/x
  3. Step 3: Cross multiply
    5,776.43x = 7,971.45 × 3,258.53
  4. Step 4: Simplify right side
    5,776.43x = 25,975,169.11
  5. Step 5: Solve for x
    x = 25,975,169.11/5,776.43
  6. Step 6: Final answer
    x = 4,496.76

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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.