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Finding the Fourth Proportional to 4,363.50, 6,021.56 and 2,374

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Solution

The fourth proportional to 4,363.50, 6,021.56 and 2,374 is: 3,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.50 : 6,021.56 = 2,374 : x
  2. Step 2: Convert to fraction form
    4,363.50/6,021.56 = 2,374/x
  3. Step 3: Cross multiply
    4,363.50x = 6,021.56 × 2,374
  4. Step 4: Simplify right side
    4,363.50x = 14,295,183.44
  5. Step 5: Solve for x
    x = 14,295,183.44/4,363.50
  6. Step 6: Final answer
    x = 3,276.08

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