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Finding the Fourth Proportional to 5,581.07, 8,371.94 and 1,833.10

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Solution

The fourth proportional to 5,581.07, 8,371.94 and 1,833.10 is: 2,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.07 : 8,371.94 = 1,833.10 : x
  2. Step 2: Convert to fraction form
    5,581.07/8,371.94 = 1,833.10/x
  3. Step 3: Cross multiply
    5,581.07x = 8,371.94 × 1,833.10
  4. Step 4: Simplify right side
    5,581.07x = 15,346,603.21
  5. Step 5: Solve for x
    x = 15,346,603.21/5,581.07
  6. Step 6: Final answer
    x = 2,749.76

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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.