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Finding the Fourth Proportional to 3,803.36, 5,706.86 and 3,310.68

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Solution

The fourth proportional to 3,803.36, 5,706.86 and 3,310.68 is: 4,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.36 : 5,706.86 = 3,310.68 : x
  2. Step 2: Convert to fraction form
    3,803.36/5,706.86 = 3,310.68/x
  3. Step 3: Cross multiply
    3,803.36x = 5,706.86 × 3,310.68
  4. Step 4: Simplify right side
    3,803.36x = 18,893,581.27
  5. Step 5: Solve for x
    x = 18,893,581.27/3,803.36
  6. Step 6: Final answer
    x = 4,967.60

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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.