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Finding the Fourth Proportional to 4,896.07, 6,756.70 and 2,906.64

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Solution

The fourth proportional to 4,896.07, 6,756.70 and 2,906.64 is: 4,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.07 : 6,756.70 = 2,906.64 : x
  2. Step 2: Convert to fraction form
    4,896.07/6,756.70 = 2,906.64/x
  3. Step 3: Cross multiply
    4,896.07x = 6,756.70 × 2,906.64
  4. Step 4: Simplify right side
    4,896.07x = 19,639,246.17
  5. Step 5: Solve for x
    x = 19,639,246.17/4,896.07
  6. Step 6: Final answer
    x = 4,011.23

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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.