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Finding the Fourth Proportional to 6,203.88, 9,302.22 and 2,503.08

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Solution

The fourth proportional to 6,203.88, 9,302.22 and 2,503.08 is: 3,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.88 : 9,302.22 = 2,503.08 : x
  2. Step 2: Convert to fraction form
    6,203.88/9,302.22 = 2,503.08/x
  3. Step 3: Cross multiply
    6,203.88x = 9,302.22 × 2,503.08
  4. Step 4: Simplify right side
    6,203.88x = 23,284,200.84
  5. Step 5: Solve for x
    x = 23,284,200.84/6,203.88
  6. Step 6: Final answer
    x = 3,753.17

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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.