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Finding the Fourth Proportional to 3,981.20, 5,971.02 and 3,783.63

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Solution

The fourth proportional to 3,981.20, 5,971.02 and 3,783.63 is: 5,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.20 : 5,971.02 = 3,783.63 : x
  2. Step 2: Convert to fraction form
    3,981.20/5,971.02 = 3,783.63/x
  3. Step 3: Cross multiply
    3,981.20x = 5,971.02 × 3,783.63
  4. Step 4: Simplify right side
    3,981.20x = 22,592,105.02
  5. Step 5: Solve for x
    x = 22,592,105.02/3,981.20
  6. Step 6: Final answer
    x = 5,674.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.