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Finding the Fourth Proportional to 3,897.05, 5,376.05 and 2,833.16

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Solution

The fourth proportional to 3,897.05, 5,376.05 and 2,833.16 is: 3,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.05 : 5,376.05 = 2,833.16 : x
  2. Step 2: Convert to fraction form
    3,897.05/5,376.05 = 2,833.16/x
  3. Step 3: Cross multiply
    3,897.05x = 5,376.05 × 2,833.16
  4. Step 4: Simplify right side
    3,897.05x = 15,231,209.64
  5. Step 5: Solve for x
    x = 15,231,209.64/3,897.05
  6. Step 6: Final answer
    x = 3,908.40

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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.