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Finding the Fourth Proportional to 3,804.12, 5,706.63 and 1,207.08

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Solution

The fourth proportional to 3,804.12, 5,706.63 and 1,207.08 is: 1,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.12 : 5,706.63 = 1,207.08 : x
  2. Step 2: Convert to fraction form
    3,804.12/5,706.63 = 1,207.08/x
  3. Step 3: Cross multiply
    3,804.12x = 5,706.63 × 1,207.08
  4. Step 4: Simplify right side
    3,804.12x = 6,888,358.94
  5. Step 5: Solve for x
    x = 6,888,358.94/3,804.12
  6. Step 6: Final answer
    x = 1,810.76

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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.