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Finding the Fourth Proportional to 4,491.12, 6,736.56 and 2,024.52

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Solution

The fourth proportional to 4,491.12, 6,736.56 and 2,024.52 is: 3,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.12 : 6,736.56 = 2,024.52 : x
  2. Step 2: Convert to fraction form
    4,491.12/6,736.56 = 2,024.52/x
  3. Step 3: Cross multiply
    4,491.12x = 6,736.56 × 2,024.52
  4. Step 4: Simplify right side
    4,491.12x = 13,638,300.45
  5. Step 5: Solve for x
    x = 13,638,300.45/4,491.12
  6. Step 6: Final answer
    x = 3,036.73

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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.