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Finding the Fourth Proportional to 3,641.40, 5,025.06 and 1,985.40

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Solution

The fourth proportional to 3,641.40, 5,025.06 and 1,985.40 is: 2,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.40 : 5,025.06 = 1,985.40 : x
  2. Step 2: Convert to fraction form
    3,641.40/5,025.06 = 1,985.40/x
  3. Step 3: Cross multiply
    3,641.40x = 5,025.06 × 1,985.40
  4. Step 4: Simplify right side
    3,641.40x = 9,976,754.12
  5. Step 5: Solve for x
    x = 9,976,754.12/3,641.40
  6. Step 6: Final answer
    x = 2,739.81

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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.