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Finding the Fourth Proportional to 3,804.75, 5,706.95 and 1,207.35

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Solution

The fourth proportional to 3,804.75, 5,706.95 and 1,207.35 is: 1,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.75 : 5,706.95 = 1,207.35 : x
  2. Step 2: Convert to fraction form
    3,804.75/5,706.95 = 1,207.35/x
  3. Step 3: Cross multiply
    3,804.75x = 5,706.95 × 1,207.35
  4. Step 4: Simplify right side
    3,804.75x = 6,890,280.05
  5. Step 5: Solve for x
    x = 6,890,280.05/3,804.75
  6. Step 6: Final answer
    x = 1,810.97

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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.