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Finding the Fourth Proportional to 4,896.59, 6,753.49 and 2,906.42

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Solution

The fourth proportional to 4,896.59, 6,753.49 and 2,906.42 is: 4,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.59 : 6,753.49 = 2,906.42 : x
  2. Step 2: Convert to fraction form
    4,896.59/6,753.49 = 2,906.42/x
  3. Step 3: Cross multiply
    4,896.59x = 6,753.49 × 2,906.42
  4. Step 4: Simplify right side
    4,896.59x = 19,628,437.37
  5. Step 5: Solve for x
    x = 19,628,437.37/4,896.59
  6. Step 6: Final answer
    x = 4,008.60

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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.