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Finding the Fourth Proportional to 3,803.46, 5,704.35 and 1,205.70

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Solution

The fourth proportional to 3,803.46, 5,704.35 and 1,205.70 is: 1,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.46 : 5,704.35 = 1,205.70 : x
  2. Step 2: Convert to fraction form
    3,803.46/5,704.35 = 1,205.70/x
  3. Step 3: Cross multiply
    3,803.46x = 5,704.35 × 1,205.70
  4. Step 4: Simplify right side
    3,803.46x = 6,877,734.80
  5. Step 5: Solve for x
    x = 6,877,734.80/3,803.46
  6. Step 6: Final answer
    x = 1,808.28

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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.