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Finding the Fourth Proportional to 4,838.92, 6,667.42 and 3,264.28

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Solution

The fourth proportional to 4,838.92, 6,667.42 and 3,264.28 is: 4,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.92 : 6,667.42 = 3,264.28 : x
  2. Step 2: Convert to fraction form
    4,838.92/6,667.42 = 3,264.28/x
  3. Step 3: Cross multiply
    4,838.92x = 6,667.42 × 3,264.28
  4. Step 4: Simplify right side
    4,838.92x = 21,764,325.76
  5. Step 5: Solve for x
    x = 21,764,325.76/4,838.92
  6. Step 6: Final answer
    x = 4,497.77

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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.