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Finding the Fourth Proportional to 3,866.27, 5,335.50 and 2,097.93

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Solution

The fourth proportional to 3,866.27, 5,335.50 and 2,097.93 is: 2,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.27 : 5,335.50 = 2,097.93 : x
  2. Step 2: Convert to fraction form
    3,866.27/5,335.50 = 2,097.93/x
  3. Step 3: Cross multiply
    3,866.27x = 5,335.50 × 2,097.93
  4. Step 4: Simplify right side
    3,866.27x = 11,193,533.39
  5. Step 5: Solve for x
    x = 11,193,533.39/3,866.27
  6. Step 6: Final answer
    x = 2,895.18

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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.