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Finding the Fourth Proportional to 3,563.41, 4,917.26 and 1,970.05

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Solution

The fourth proportional to 3,563.41, 4,917.26 and 1,970.05 is: 2,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.41 : 4,917.26 = 1,970.05 : x
  2. Step 2: Convert to fraction form
    3,563.41/4,917.26 = 1,970.05/x
  3. Step 3: Cross multiply
    3,563.41x = 4,917.26 × 1,970.05
  4. Step 4: Simplify right side
    3,563.41x = 9,687,225.00
  5. Step 5: Solve for x
    x = 9,687,225.00/3,563.41
  6. Step 6: Final answer
    x = 2,718.53

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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.