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Finding the Fourth Proportional to 3,893.63, 5,842.26 and 1,702.98

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Solution

The fourth proportional to 3,893.63, 5,842.26 and 1,702.98 is: 2,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.63 : 5,842.26 = 1,702.98 : x
  2. Step 2: Convert to fraction form
    3,893.63/5,842.26 = 1,702.98/x
  3. Step 3: Cross multiply
    3,893.63x = 5,842.26 × 1,702.98
  4. Step 4: Simplify right side
    3,893.63x = 9,949,251.93
  5. Step 5: Solve for x
    x = 9,949,251.93/3,893.63
  6. Step 6: Final answer
    x = 2,555.27

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1.5x scale

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.