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Finding the Fourth Proportional to 4,073.84, 5,622.12 and 2,305.52

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Solution

The fourth proportional to 4,073.84, 5,622.12 and 2,305.52 is: 3,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.84 : 5,622.12 = 2,305.52 : x
  2. Step 2: Convert to fraction form
    4,073.84/5,622.12 = 2,305.52/x
  3. Step 3: Cross multiply
    4,073.84x = 5,622.12 × 2,305.52
  4. Step 4: Simplify right side
    4,073.84x = 12,961,910.10
  5. Step 5: Solve for x
    x = 12,961,910.10/4,073.84
  6. Step 6: Final answer
    x = 3,181.74

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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.