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Finding the Fourth Proportional to 3,693.86, 5,097.54 and 2,015.24

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Solution

The fourth proportional to 3,693.86, 5,097.54 and 2,015.24 is: 2,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.86 : 5,097.54 = 2,015.24 : x
  2. Step 2: Convert to fraction form
    3,693.86/5,097.54 = 2,015.24/x
  3. Step 3: Cross multiply
    3,693.86x = 5,097.54 × 2,015.24
  4. Step 4: Simplify right side
    3,693.86x = 10,272,766.51
  5. Step 5: Solve for x
    x = 10,272,766.51/3,693.86
  6. Step 6: Final answer
    x = 2,781.04

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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.