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Finding the Fourth Proportional to 3,580.78, 5,373.06 and 1,849

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Solution

The fourth proportional to 3,580.78, 5,373.06 and 1,849 is: 2,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.78 : 5,373.06 = 1,849 : x
  2. Step 2: Convert to fraction form
    3,580.78/5,373.06 = 1,849/x
  3. Step 3: Cross multiply
    3,580.78x = 5,373.06 × 1,849
  4. Step 4: Simplify right side
    3,580.78x = 9,934,787.94
  5. Step 5: Solve for x
    x = 9,934,787.94/3,580.78
  6. Step 6: Final answer
    x = 2,774.48

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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.