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Finding the Fourth Proportional to 5,032.78, 6,946.05 and 2,936.89

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Solution

The fourth proportional to 5,032.78, 6,946.05 and 2,936.89 is: 4,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.78 : 6,946.05 = 2,936.89 : x
  2. Step 2: Convert to fraction form
    5,032.78/6,946.05 = 2,936.89/x
  3. Step 3: Cross multiply
    5,032.78x = 6,946.05 × 2,936.89
  4. Step 4: Simplify right side
    5,032.78x = 20,399,784.78
  5. Step 5: Solve for x
    x = 20,399,784.78/5,032.78
  6. Step 6: Final answer
    x = 4,053.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.