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Finding the Fourth Proportional to 3,865.53, 5,334.40 and 2,097.14

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Solution

The fourth proportional to 3,865.53, 5,334.40 and 2,097.14 is: 2,894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.53 : 5,334.40 = 2,097.14 : x
  2. Step 2: Convert to fraction form
    3,865.53/5,334.40 = 2,097.14/x
  3. Step 3: Cross multiply
    3,865.53x = 5,334.40 × 2,097.14
  4. Step 4: Simplify right side
    3,865.53x = 11,186,983.62
  5. Step 5: Solve for x
    x = 11,186,983.62/3,865.53
  6. Step 6: Final answer
    x = 2,894.04

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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.