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Finding the Fourth Proportional to 5,057.54, 6,962.51 and 3,796.47

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Solution

The fourth proportional to 5,057.54, 6,962.51 and 3,796.47 is: 5,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.54 : 6,962.51 = 3,796.47 : x
  2. Step 2: Convert to fraction form
    5,057.54/6,962.51 = 3,796.47/x
  3. Step 3: Cross multiply
    5,057.54x = 6,962.51 × 3,796.47
  4. Step 4: Simplify right side
    5,057.54x = 26,432,948.48
  5. Step 5: Solve for x
    x = 26,432,948.48/5,057.54
  6. Step 6: Final answer
    x = 5,226.45

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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.