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Finding the Fourth Proportional to 3,804.72, 5,706.36 and 1,207.68

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Solution

The fourth proportional to 3,804.72, 5,706.36 and 1,207.68 is: 1,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.72 : 5,706.36 = 1,207.68 : x
  2. Step 2: Convert to fraction form
    3,804.72/5,706.36 = 1,207.68/x
  3. Step 3: Cross multiply
    3,804.72x = 5,706.36 × 1,207.68
  4. Step 4: Simplify right side
    3,804.72x = 6,891,456.84
  5. Step 5: Solve for x
    x = 6,891,456.84/3,804.72
  6. Step 6: Final answer
    x = 1,811.29

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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.