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Finding the Fourth Proportional to 2,572.91, 3,859.37 and 2,002.67

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Solution

The fourth proportional to 2,572.91, 3,859.37 and 2,002.67 is: 3,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.91 : 3,859.37 = 2,002.67 : x
  2. Step 2: Convert to fraction form
    2,572.91/3,859.37 = 2,002.67/x
  3. Step 3: Cross multiply
    2,572.91x = 3,859.37 × 2,002.67
  4. Step 4: Simplify right side
    2,572.91x = 7,729,034.50
  5. Step 5: Solve for x
    x = 7,729,034.50/2,572.91
  6. Step 6: Final answer
    x = 3,004.01

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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.