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Finding the Fourth Proportional to 3,484.60, 5,194.99 and 3,176.80

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Solution

The fourth proportional to 3,484.60, 5,194.99 and 3,176.80 is: 4,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.60 : 5,194.99 = 3,176.80 : x
  2. Step 2: Convert to fraction form
    3,484.60/5,194.99 = 3,176.80/x
  3. Step 3: Cross multiply
    3,484.60x = 5,194.99 × 3,176.80
  4. Step 4: Simplify right side
    3,484.60x = 16,503,444.23
  5. Step 5: Solve for x
    x = 16,503,444.23/3,484.60
  6. Step 6: Final answer
    x = 4,736.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.