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Finding the Fourth Proportional to 4,168.50, 5,752.53 and 2,305.50

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Solution

The fourth proportional to 4,168.50, 5,752.53 and 2,305.50 is: 3,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.50 : 5,752.53 = 2,305.50 : x
  2. Step 2: Convert to fraction form
    4,168.50/5,752.53 = 2,305.50/x
  3. Step 3: Cross multiply
    4,168.50x = 5,752.53 × 2,305.50
  4. Step 4: Simplify right side
    4,168.50x = 13,262,457.92
  5. Step 5: Solve for x
    x = 13,262,457.92/4,168.50
  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.