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Finding the Fourth Proportional to 4,939.86, 6,815.40 and 3,523.74

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Solution

The fourth proportional to 4,939.86, 6,815.40 and 3,523.74 is: 4,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.86 : 6,815.40 = 3,523.74 : x
  2. Step 2: Convert to fraction form
    4,939.86/6,815.40 = 3,523.74/x
  3. Step 3: Cross multiply
    4,939.86x = 6,815.40 × 3,523.74
  4. Step 4: Simplify right side
    4,939.86x = 24,015,697.60
  5. Step 5: Solve for x
    x = 24,015,697.60/4,939.86
  6. Step 6: Final answer
    x = 4,861.62

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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.