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Finding the Fourth Proportional to 4,126.80, 5,695 and 2,263.80

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Solution

The fourth proportional to 4,126.80, 5,695 and 2,263.80 is: 3,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.80 : 5,695 = 2,263.80 : x
  2. Step 2: Convert to fraction form
    4,126.80/5,695 = 2,263.80/x
  3. Step 3: Cross multiply
    4,126.80x = 5,695 × 2,263.80
  4. Step 4: Simplify right side
    4,126.80x = 12,892,341.00
  5. Step 5: Solve for x
    x = 12,892,341.00/4,126.80
  6. Step 6: Final answer
    x = 3,124.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.