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Finding the Fourth Proportional to 4,731.77, 7,097.62 and 1,221.48

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Solution

The fourth proportional to 4,731.77, 7,097.62 and 1,221.48 is: 1,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.77 : 7,097.62 = 1,221.48 : x
  2. Step 2: Convert to fraction form
    4,731.77/7,097.62 = 1,221.48/x
  3. Step 3: Cross multiply
    4,731.77x = 7,097.62 × 1,221.48
  4. Step 4: Simplify right side
    4,731.77x = 8,669,600.88
  5. Step 5: Solve for x
    x = 8,669,600.88/4,731.77
  6. Step 6: Final answer
    x = 1,832.21

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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.