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Finding the Fourth Proportional to 5,964.04, 8,940.54 and 2,265.16

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Solution

The fourth proportional to 5,964.04, 8,940.54 and 2,265.16 is: 3,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.04 : 8,940.54 = 2,265.16 : x
  2. Step 2: Convert to fraction form
    5,964.04/8,940.54 = 2,265.16/x
  3. Step 3: Cross multiply
    5,964.04x = 8,940.54 × 2,265.16
  4. Step 4: Simplify right side
    5,964.04x = 20,251,753.59
  5. Step 5: Solve for x
    x = 20,251,753.59/5,964.04
  6. Step 6: Final answer
    x = 3,395.64

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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.