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Finding the Fourth Proportional to 3,540.96, 4,886.62 and 1,969.02

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Solution

The fourth proportional to 3,540.96, 4,886.62 and 1,969.02 is: 2,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.96 : 4,886.62 = 1,969.02 : x
  2. Step 2: Convert to fraction form
    3,540.96/4,886.62 = 1,969.02/x
  3. Step 3: Cross multiply
    3,540.96x = 4,886.62 × 1,969.02
  4. Step 4: Simplify right side
    3,540.96x = 9,621,852.51
  5. Step 5: Solve for x
    x = 9,621,852.51/3,540.96
  6. Step 6: Final answer
    x = 2,717.30

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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.