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Finding the Fourth Proportional to 4,491.84, 6,738 and 1,718

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Solution

The fourth proportional to 4,491.84, 6,738 and 1,718 is: 2,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.84 : 6,738 = 1,718 : x
  2. Step 2: Convert to fraction form
    4,491.84/6,738 = 1,718/x
  3. Step 3: Cross multiply
    4,491.84x = 6,738 × 1,718
  4. Step 4: Simplify right side
    4,491.84x = 11,575,884
  5. Step 5: Solve for x
    x = 11,575,884/4,491.84
  6. Step 6: Final answer
    x = 2,577.09

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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.