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Finding the Fourth Proportional to 3,804.02, 5,706.94 and 1,206.96

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Solution

The fourth proportional to 3,804.02, 5,706.94 and 1,206.96 is: 1,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.02 : 5,706.94 = 1,206.96 : x
  2. Step 2: Convert to fraction form
    3,804.02/5,706.94 = 1,206.96/x
  3. Step 3: Cross multiply
    3,804.02x = 5,706.94 × 1,206.96
  4. Step 4: Simplify right side
    3,804.02x = 6,888,048.30
  5. Step 5: Solve for x
    x = 6,888,048.30/3,804.02
  6. Step 6: Final answer
    x = 1,810.73

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Why These Related Problems?

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