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Finding the Fourth Proportional to 2,570.36, 3,857.07 and 2,361.23

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Solution

The fourth proportional to 2,570.36, 3,857.07 and 2,361.23 is: 3,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.36 : 3,857.07 = 2,361.23 : x
  2. Step 2: Convert to fraction form
    2,570.36/3,857.07 = 2,361.23/x
  3. Step 3: Cross multiply
    2,570.36x = 3,857.07 × 2,361.23
  4. Step 4: Simplify right side
    2,570.36x = 9,107,426.20
  5. Step 5: Solve for x
    x = 9,107,426.20/2,570.36
  6. Step 6: Final answer
    x = 3,543.25

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Why These Related Problems?

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