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Finding the Fourth Proportional to 3,866.02, 5,335.08 and 2,097.59

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Solution

The fourth proportional to 3,866.02, 5,335.08 and 2,097.59 is: 2,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.02 : 5,335.08 = 2,097.59 : x
  2. Step 2: Convert to fraction form
    3,866.02/5,335.08 = 2,097.59/x
  3. Step 3: Cross multiply
    3,866.02x = 5,335.08 × 2,097.59
  4. Step 4: Simplify right side
    3,866.02x = 11,190,787.71
  5. Step 5: Solve for x
    x = 11,190,787.71/3,866.02
  6. Step 6: Final answer
    x = 2,894.66

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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.