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Finding the Fourth Proportional to 4,491.48, 6,737.22 and 2,181

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Solution

The fourth proportional to 4,491.48, 6,737.22 and 2,181 is: 3,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.48 : 6,737.22 = 2,181 : x
  2. Step 2: Convert to fraction form
    4,491.48/6,737.22 = 2,181/x
  3. Step 3: Cross multiply
    4,491.48x = 6,737.22 × 2,181
  4. Step 4: Simplify right side
    4,491.48x = 14,693,876.82
  5. Step 5: Solve for x
    x = 14,693,876.82/4,491.48
  6. Step 6: Final answer
    x = 3,271.50

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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.