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Finding the Fourth Proportional to 3,807.22, 5,254 and 2,235.34

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Solution

The fourth proportional to 3,807.22, 5,254 and 2,235.34 is: 3,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.22 : 5,254 = 2,235.34 : x
  2. Step 2: Convert to fraction form
    3,807.22/5,254 = 2,235.34/x
  3. Step 3: Cross multiply
    3,807.22x = 5,254 × 2,235.34
  4. Step 4: Simplify right side
    3,807.22x = 11,744,476.36
  5. Step 5: Solve for x
    x = 11,744,476.36/3,807.22
  6. Step 6: Final answer
    x = 3,084.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.