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Finding the Fourth Proportional to 5,764.96, 7,952.88 and 3,774.64

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Solution

The fourth proportional to 5,764.96, 7,952.88 and 3,774.64 is: 5,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.96 : 7,952.88 = 3,774.64 : x
  2. Step 2: Convert to fraction form
    5,764.96/7,952.88 = 3,774.64/x
  3. Step 3: Cross multiply
    5,764.96x = 7,952.88 × 3,774.64
  4. Step 4: Simplify right side
    5,764.96x = 30,019,258.96
  5. Step 5: Solve for x
    x = 30,019,258.96/5,764.96
  6. Step 6: Final answer
    x = 5,207.19

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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.