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Finding the Fourth Proportional to 3,804.12, 5,702.94 and 1,494

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Solution

The fourth proportional to 3,804.12, 5,702.94 and 1,494 is: 2,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.12 : 5,702.94 = 1,494 : x
  2. Step 2: Convert to fraction form
    3,804.12/5,702.94 = 1,494/x
  3. Step 3: Cross multiply
    3,804.12x = 5,702.94 × 1,494
  4. Step 4: Simplify right side
    3,804.12x = 8,520,192.36
  5. Step 5: Solve for x
    x = 8,520,192.36/3,804.12
  6. Step 6: Final answer
    x = 2,239.73

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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.