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Finding the Fourth Proportional to 5,203.24, 7,807.74 and 2,125

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Solution

The fourth proportional to 5,203.24, 7,807.74 and 2,125 is: 3,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.24 : 7,807.74 = 2,125 : x
  2. Step 2: Convert to fraction form
    5,203.24/7,807.74 = 2,125/x
  3. Step 3: Cross multiply
    5,203.24x = 7,807.74 × 2,125
  4. Step 4: Simplify right side
    5,203.24x = 16,591,447.50
  5. Step 5: Solve for x
    x = 16,591,447.50/5,203.24
  6. Step 6: Final answer
    x = 3,188.68

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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.