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Finding the Fourth Proportional to 3,866.51, 5,335.81 and 2,098.12

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Solution

The fourth proportional to 3,866.51, 5,335.81 and 2,098.12 is: 2,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.51 : 5,335.81 = 2,098.12 : x
  2. Step 2: Convert to fraction form
    3,866.51/5,335.81 = 2,098.12/x
  3. Step 3: Cross multiply
    3,866.51x = 5,335.81 × 2,098.12
  4. Step 4: Simplify right side
    3,866.51x = 11,195,159.19
  5. Step 5: Solve for x
    x = 11,195,159.19/3,866.51
  6. Step 6: Final answer
    x = 2,895.41

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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.