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Finding the Fourth Proportional to 3,780.53, 5,213.64 and 2,363.76

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Solution

The fourth proportional to 3,780.53, 5,213.64 and 2,363.76 is: 3,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.53 : 5,213.64 = 2,363.76 : x
  2. Step 2: Convert to fraction form
    3,780.53/5,213.64 = 2,363.76/x
  3. Step 3: Cross multiply
    3,780.53x = 5,213.64 × 2,363.76
  4. Step 4: Simplify right side
    3,780.53x = 12,323,806.72
  5. Step 5: Solve for x
    x = 12,323,806.72/3,780.53
  6. Step 6: Final answer
    x = 3,259.81

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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.