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Finding the Fourth Proportional to 3,299.93, 4,946.48 and 2,064.51

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Solution

The fourth proportional to 3,299.93, 4,946.48 and 2,064.51 is: 3,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.93 : 4,946.48 = 2,064.51 : x
  2. Step 2: Convert to fraction form
    3,299.93/4,946.48 = 2,064.51/x
  3. Step 3: Cross multiply
    3,299.93x = 4,946.48 × 2,064.51
  4. Step 4: Simplify right side
    3,299.93x = 10,212,057.42
  5. Step 5: Solve for x
    x = 10,212,057.42/3,299.93
  6. Step 6: Final answer
    x = 3,094.63

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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.