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Finding the Fourth Proportional to 4,308, 5,945.76 and 3,258.24

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Solution

The fourth proportional to 4,308, 5,945.76 and 3,258.24 is: 4,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308 : 5,945.76 = 3,258.24 : x
  2. Step 2: Convert to fraction form
    4,308/5,945.76 = 3,258.24/x
  3. Step 3: Cross multiply
    4,308x = 5,945.76 × 3,258.24
  4. Step 4: Simplify right side
    4,308x = 19,372,713.06
  5. Step 5: Solve for x
    x = 19,372,713.06/4,308
  6. Step 6: Final answer
    x = 4,496.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.