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Finding the Fourth Proportional to 3,764.62, 5,642.97 and 1,570.30

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Solution

The fourth proportional to 3,764.62, 5,642.97 and 1,570.30 is: 2,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.62 : 5,642.97 = 1,570.30 : x
  2. Step 2: Convert to fraction form
    3,764.62/5,642.97 = 1,570.30/x
  3. Step 3: Cross multiply
    3,764.62x = 5,642.97 × 1,570.30
  4. Step 4: Simplify right side
    3,764.62x = 8,861,155.79
  5. Step 5: Solve for x
    x = 8,861,155.79/3,764.62
  6. Step 6: Final answer
    x = 2,353.80

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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.