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Finding the Fourth Proportional to 3,586.22, 5,376 and 1,394.48

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Solution

The fourth proportional to 3,586.22, 5,376 and 1,394.48 is: 2,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.22 : 5,376 = 1,394.48 : x
  2. Step 2: Convert to fraction form
    3,586.22/5,376 = 1,394.48/x
  3. Step 3: Cross multiply
    3,586.22x = 5,376 × 1,394.48
  4. Step 4: Simplify right side
    3,586.22x = 7,496,724.48
  5. Step 5: Solve for x
    x = 7,496,724.48/3,586.22
  6. Step 6: Final answer
    x = 2,090.43

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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.