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Finding the Fourth Proportional to 3,848.92, 5,308 and 2,856.72

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Solution

The fourth proportional to 3,848.92, 5,308 and 2,856.72 is: 3,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.92 : 5,308 = 2,856.72 : x
  2. Step 2: Convert to fraction form
    3,848.92/5,308 = 2,856.72/x
  3. Step 3: Cross multiply
    3,848.92x = 5,308 × 2,856.72
  4. Step 4: Simplify right side
    3,848.92x = 15,163,469.76
  5. Step 5: Solve for x
    x = 15,163,469.76/3,848.92
  6. Step 6: Final answer
    x = 3,939.67

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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.