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Finding the Fourth Proportional to 3,541.22, 4,887 and 1,947.94

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Solution

The fourth proportional to 3,541.22, 4,887 and 1,947.94 is: 2,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.22 : 4,887 = 1,947.94 : x
  2. Step 2: Convert to fraction form
    3,541.22/4,887 = 1,947.94/x
  3. Step 3: Cross multiply
    3,541.22x = 4,887 × 1,947.94
  4. Step 4: Simplify right side
    3,541.22x = 9,519,558.35
  5. Step 5: Solve for x
    x = 9,519,558.35/3,541.22
  6. Step 6: Final answer
    x = 2,688.21

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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.