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Finding the Fourth Proportional to 3,411.03, 5,111.60 and 1,849.71

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Solution

The fourth proportional to 3,411.03, 5,111.60 and 1,849.71 is: 2,771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.03 : 5,111.60 = 1,849.71 : x
  2. Step 2: Convert to fraction form
    3,411.03/5,111.60 = 1,849.71/x
  3. Step 3: Cross multiply
    3,411.03x = 5,111.60 × 1,849.71
  4. Step 4: Simplify right side
    3,411.03x = 9,454,968.39
  5. Step 5: Solve for x
    x = 9,454,968.39/3,411.03
  6. Step 6: Final answer
    x = 2,771.88

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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.