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Finding the Fourth Proportional to 3,347.92, 5,021.51 and 849.10

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Solution

The fourth proportional to 3,347.92, 5,021.51 and 849.10 is: 1,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.92 : 5,021.51 = 849.10 : x
  2. Step 2: Convert to fraction form
    3,347.92/5,021.51 = 849.10/x
  3. Step 3: Cross multiply
    3,347.92x = 5,021.51 × 849.10
  4. Step 4: Simplify right side
    3,347.92x = 4,263,756.76
  5. Step 5: Solve for x
    x = 4,263,756.76/3,347.92
  6. Step 6: Final answer
    x = 1,273.55

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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.