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Finding the Fourth Proportional to 3,693.54, 5,097.96 and 2,122.55

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Solution

The fourth proportional to 3,693.54, 5,097.96 and 2,122.55 is: 2,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.54 : 5,097.96 = 2,122.55 : x
  2. Step 2: Convert to fraction form
    3,693.54/5,097.96 = 2,122.55/x
  3. Step 3: Cross multiply
    3,693.54x = 5,097.96 × 2,122.55
  4. Step 4: Simplify right side
    3,693.54x = 10,820,649.51
  5. Step 5: Solve for x
    x = 10,820,649.51/3,693.54
  6. Step 6: Final answer
    x = 2,929.61

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