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Finding the Fourth Proportional to 3,563.25, 4,917.25 and 1,970

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Solution

The fourth proportional to 3,563.25, 4,917.25 and 1,970 is: 2,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.25 : 4,917.25 = 1,970 : x
  2. Step 2: Convert to fraction form
    3,563.25/4,917.25 = 1,970/x
  3. Step 3: Cross multiply
    3,563.25x = 4,917.25 × 1,970
  4. Step 4: Simplify right side
    3,563.25x = 9,686,982.50
  5. Step 5: Solve for x
    x = 9,686,982.50/3,563.25
  6. Step 6: Final answer
    x = 2,718.58

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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.