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Finding the Fourth Proportional to 3,541.68, 4,887.72 and 1,969.65

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Solution

The fourth proportional to 3,541.68, 4,887.72 and 1,969.65 is: 2,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.68 : 4,887.72 = 1,969.65 : x
  2. Step 2: Convert to fraction form
    3,541.68/4,887.72 = 1,969.65/x
  3. Step 3: Cross multiply
    3,541.68x = 4,887.72 × 1,969.65
  4. Step 4: Simplify right side
    3,541.68x = 9,627,097.70
  5. Step 5: Solve for x
    x = 9,627,097.70/3,541.68
  6. Step 6: Final answer
    x = 2,718.23

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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.