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Finding the Fourth Proportional to 3,827.73, 5,742.21 and 1,880.10

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Solution

The fourth proportional to 3,827.73, 5,742.21 and 1,880.10 is: 2,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.73 : 5,742.21 = 1,880.10 : x
  2. Step 2: Convert to fraction form
    3,827.73/5,742.21 = 1,880.10/x
  3. Step 3: Cross multiply
    3,827.73x = 5,742.21 × 1,880.10
  4. Step 4: Simplify right side
    3,827.73x = 10,795,929.02
  5. Step 5: Solve for x
    x = 10,795,929.02/3,827.73
  6. Step 6: Final answer
    x = 2,820.45

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Why These Related Problems?

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