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Finding the Fourth Proportional to 4,073.94, 5,622.04 and 2,305.50

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Solution

The fourth proportional to 4,073.94, 5,622.04 and 2,305.50 is: 3,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.94 : 5,622.04 = 2,305.50 : x
  2. Step 2: Convert to fraction form
    4,073.94/5,622.04 = 2,305.50/x
  3. Step 3: Cross multiply
    4,073.94x = 5,622.04 × 2,305.50
  4. Step 4: Simplify right side
    4,073.94x = 12,961,613.22
  5. Step 5: Solve for x
    x = 12,961,613.22/4,073.94
  6. Step 6: Final answer
    x = 3,181.59

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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.