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Finding the Fourth Proportional to 3,803.84, 5,711.22 and 3,741.87

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Solution

The fourth proportional to 3,803.84, 5,711.22 and 3,741.87 is: 5,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.84 : 5,711.22 = 3,741.87 : x
  2. Step 2: Convert to fraction form
    3,803.84/5,711.22 = 3,741.87/x
  3. Step 3: Cross multiply
    3,803.84x = 5,711.22 × 3,741.87
  4. Step 4: Simplify right side
    3,803.84x = 21,370,642.78
  5. Step 5: Solve for x
    x = 21,370,642.78/3,803.84
  6. Step 6: Final answer
    x = 5,618.18

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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.