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Finding the Fourth Proportional to 3,641.71, 5,025.34 and 2,150.09

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Solution

The fourth proportional to 3,641.71, 5,025.34 and 2,150.09 is: 2,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.71 : 5,025.34 = 2,150.09 : x
  2. Step 2: Convert to fraction form
    3,641.71/5,025.34 = 2,150.09/x
  3. Step 3: Cross multiply
    3,641.71x = 5,025.34 × 2,150.09
  4. Step 4: Simplify right side
    3,641.71x = 10,804,957.95
  5. Step 5: Solve for x
    x = 10,804,957.95/3,641.71
  6. Step 6: Final answer
    x = 2,967.00

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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.