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Finding the Fourth Proportional to 3,865.64, 5,334.56 and 2,097.21

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Solution

The fourth proportional to 3,865.64, 5,334.56 and 2,097.21 is: 2,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.64 : 5,334.56 = 2,097.21 : x
  2. Step 2: Convert to fraction form
    3,865.64/5,334.56 = 2,097.21/x
  3. Step 3: Cross multiply
    3,865.64x = 5,334.56 × 2,097.21
  4. Step 4: Simplify right side
    3,865.64x = 11,187,697.82
  5. Step 5: Solve for x
    x = 11,187,697.82/3,865.64
  6. Step 6: Final answer
    x = 2,894.14

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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.