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Finding the Fourth Proportional to 4,491.91, 6,738.62 and 2,026.67

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Solution

The fourth proportional to 4,491.91, 6,738.62 and 2,026.67 is: 3,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.91 : 6,738.62 = 2,026.67 : x
  2. Step 2: Convert to fraction form
    4,491.91/6,738.62 = 2,026.67/x
  3. Step 3: Cross multiply
    4,491.91x = 6,738.62 × 2,026.67
  4. Step 4: Simplify right side
    4,491.91x = 13,656,959.00
  5. Step 5: Solve for x
    x = 13,656,959.00/4,491.91
  6. Step 6: Final answer
    x = 3,040.35

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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.