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Finding the Fourth Proportional to 3,866.21, 5,335.34 and 2,097.77

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Solution

The fourth proportional to 3,866.21, 5,335.34 and 2,097.77 is: 2,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.21 : 5,335.34 = 2,097.77 : x
  2. Step 2: Convert to fraction form
    3,866.21/5,335.34 = 2,097.77/x
  3. Step 3: Cross multiply
    3,866.21x = 5,335.34 × 2,097.77
  4. Step 4: Simplify right side
    3,866.21x = 11,192,326.91
  5. Step 5: Solve for x
    x = 11,192,326.91/3,866.21
  6. Step 6: Final answer
    x = 2,894.91

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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.