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Finding the Fourth Proportional to 2,570.28, 3,857.09 and 2,361.15

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Solution

The fourth proportional to 2,570.28, 3,857.09 and 2,361.15 is: 3,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.28 : 3,857.09 = 2,361.15 : x
  2. Step 2: Convert to fraction form
    2,570.28/3,857.09 = 2,361.15/x
  3. Step 3: Cross multiply
    2,570.28x = 3,857.09 × 2,361.15
  4. Step 4: Simplify right side
    2,570.28x = 9,107,156.25
  5. Step 5: Solve for x
    x = 9,107,156.25/2,570.28
  6. Step 6: Final answer
    x = 3,543.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.