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Finding the Fourth Proportional to 5,570.86, 7,687.38 and 3,052.57

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Solution

The fourth proportional to 5,570.86, 7,687.38 and 3,052.57 is: 4,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.86 : 7,687.38 = 3,052.57 : x
  2. Step 2: Convert to fraction form
    5,570.86/7,687.38 = 3,052.57/x
  3. Step 3: Cross multiply
    5,570.86x = 7,687.38 × 3,052.57
  4. Step 4: Simplify right side
    5,570.86x = 23,466,265.57
  5. Step 5: Solve for x
    x = 23,466,265.57/5,570.86
  6. Step 6: Final answer
    x = 4,212.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.