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Finding the Fourth Proportional to 4,570.97, 6,856.22 and 2,816.36

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Solution

The fourth proportional to 4,570.97, 6,856.22 and 2,816.36 is: 4,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.97 : 6,856.22 = 2,816.36 : x
  2. Step 2: Convert to fraction form
    4,570.97/6,856.22 = 2,816.36/x
  3. Step 3: Cross multiply
    4,570.97x = 6,856.22 × 2,816.36
  4. Step 4: Simplify right side
    4,570.97x = 19,309,535.40
  5. Step 5: Solve for x
    x = 19,309,535.40/4,570.97
  6. Step 6: Final answer
    x = 4,224.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.