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Finding the Fourth Proportional to 3,466.34, 5,199.22 and 1,491.89

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Solution

The fourth proportional to 3,466.34, 5,199.22 and 1,491.89 is: 2,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.34 : 5,199.22 = 1,491.89 : x
  2. Step 2: Convert to fraction form
    3,466.34/5,199.22 = 1,491.89/x
  3. Step 3: Cross multiply
    3,466.34x = 5,199.22 × 1,491.89
  4. Step 4: Simplify right side
    3,466.34x = 7,756,655.83
  5. Step 5: Solve for x
    x = 7,756,655.83/3,466.34
  6. Step 6: Final answer
    x = 2,237.71

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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.