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Finding the Fourth Proportional to 3,833.51, 5,290.18 and 2,261.57

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Solution

The fourth proportional to 3,833.51, 5,290.18 and 2,261.57 is: 3,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.51 : 5,290.18 = 2,261.57 : x
  2. Step 2: Convert to fraction form
    3,833.51/5,290.18 = 2,261.57/x
  3. Step 3: Cross multiply
    3,833.51x = 5,290.18 × 2,261.57
  4. Step 4: Simplify right side
    3,833.51x = 11,964,080.28
  5. Step 5: Solve for x
    x = 11,964,080.28/3,833.51
  6. Step 6: Final answer
    x = 3,120.92

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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.