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Finding the Fourth Proportional to 6,290.52, 9,440.64 and 3,173.64

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Solution

The fourth proportional to 6,290.52, 9,440.64 and 3,173.64 is: 4,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.52 : 9,440.64 = 3,173.64 : x
  2. Step 2: Convert to fraction form
    6,290.52/9,440.64 = 3,173.64/x
  3. Step 3: Cross multiply
    6,290.52x = 9,440.64 × 3,173.64
  4. Step 4: Simplify right side
    6,290.52x = 29,961,192.73
  5. Step 5: Solve for x
    x = 29,961,192.73/6,290.52
  6. Step 6: Final answer
    x = 4,762.91

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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.