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Finding the Fourth Proportional to 3,865.58, 5,334.48 and 2,097.17

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Solution

The fourth proportional to 3,865.58, 5,334.48 and 2,097.17 is: 2,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.58 : 5,334.48 = 2,097.17 : x
  2. Step 2: Convert to fraction form
    3,865.58/5,334.48 = 2,097.17/x
  3. Step 3: Cross multiply
    3,865.58x = 5,334.48 × 2,097.17
  4. Step 4: Simplify right side
    3,865.58x = 11,187,284.75
  5. Step 5: Solve for x
    x = 11,187,284.75/3,865.58
  6. Step 6: Final answer
    x = 2,894.08

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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.