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Finding the Fourth Proportional to 6,020.77, 9,025 and 2,321.55

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Solution

The fourth proportional to 6,020.77, 9,025 and 2,321.55 is: 3,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020.77 : 9,025 = 2,321.55 : x
  2. Step 2: Convert to fraction form
    6,020.77/9,025 = 2,321.55/x
  3. Step 3: Cross multiply
    6,020.77x = 9,025 × 2,321.55
  4. Step 4: Simplify right side
    6,020.77x = 20,951,988.75
  5. Step 5: Solve for x
    x = 20,951,988.75/6,020.77
  6. Step 6: Final answer
    x = 3,479.95

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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.