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Finding the Fourth Proportional to 3,685.86, 5,523.03 and 3,135.78

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Solution

The fourth proportional to 3,685.86, 5,523.03 and 3,135.78 is: 4,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.86 : 5,523.03 = 3,135.78 : x
  2. Step 2: Convert to fraction form
    3,685.86/5,523.03 = 3,135.78/x
  3. Step 3: Cross multiply
    3,685.86x = 5,523.03 × 3,135.78
  4. Step 4: Simplify right side
    3,685.86x = 17,319,007.01
  5. Step 5: Solve for x
    x = 17,319,007.01/3,685.86
  6. Step 6: Final answer
    x = 4,698.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.