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Finding the Fourth Proportional to 3,541.75, 4,887.30 and 1,969.90

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Solution

The fourth proportional to 3,541.75, 4,887.30 and 1,969.90 is: 2,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.75 : 4,887.30 = 1,969.90 : x
  2. Step 2: Convert to fraction form
    3,541.75/4,887.30 = 1,969.90/x
  3. Step 3: Cross multiply
    3,541.75x = 4,887.30 × 1,969.90
  4. Step 4: Simplify right side
    3,541.75x = 9,627,492.27
  5. Step 5: Solve for x
    x = 9,627,492.27/3,541.75
  6. Step 6: Final answer
    x = 2,718.29

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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.