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Finding the Fourth Proportional to 4,490.94, 6,739.14 and 1,893.88

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Solution

The fourth proportional to 4,490.94, 6,739.14 and 1,893.88 is: 2,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.94 : 6,739.14 = 1,893.88 : x
  2. Step 2: Convert to fraction form
    4,490.94/6,739.14 = 1,893.88/x
  3. Step 3: Cross multiply
    4,490.94x = 6,739.14 × 1,893.88
  4. Step 4: Simplify right side
    4,490.94x = 12,763,088.77
  5. Step 5: Solve for x
    x = 12,763,088.77/4,490.94
  6. Step 6: Final answer
    x = 2,841.96

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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.