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Finding the Fourth Proportional to 4,363.44, 6,021.44 and 2,374

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Solution

The fourth proportional to 4,363.44, 6,021.44 and 2,374 is: 3,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.44 : 6,021.44 = 2,374 : x
  2. Step 2: Convert to fraction form
    4,363.44/6,021.44 = 2,374/x
  3. Step 3: Cross multiply
    4,363.44x = 6,021.44 × 2,374
  4. Step 4: Simplify right side
    4,363.44x = 14,294,898.56
  5. Step 5: Solve for x
    x = 14,294,898.56/4,363.44
  6. Step 6: Final answer
    x = 3,276.06

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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.