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Finding the Fourth Proportional to 7,234.89, 10,852.56 and 2,491.00

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Solution

The fourth proportional to 7,234.89, 10,852.56 and 2,491.00 is: 3,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.89 : 10,852.56 = 2,491.00 : x
  2. Step 2: Convert to fraction form
    7,234.89/10,852.56 = 2,491.00/x
  3. Step 3: Cross multiply
    7,234.89x = 10,852.56 × 2,491.00
  4. Step 4: Simplify right side
    7,234.89x = 27,033,704.50
  5. Step 5: Solve for x
    x = 27,033,704.50/7,234.89
  6. Step 6: Final answer
    x = 3,736.57

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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.