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Finding the Fourth Proportional to 4,803.67, 7,204.36 and 2,462.47

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Solution

The fourth proportional to 4,803.67, 7,204.36 and 2,462.47 is: 3,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.67 : 7,204.36 = 2,462.47 : x
  2. Step 2: Convert to fraction form
    4,803.67/7,204.36 = 2,462.47/x
  3. Step 3: Cross multiply
    4,803.67x = 7,204.36 × 2,462.47
  4. Step 4: Simplify right side
    4,803.67x = 17,740,500.82
  5. Step 5: Solve for x
    x = 17,740,500.82/4,803.67
  6. Step 6: Final answer
    x = 3,693.11

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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.