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Finding the Fourth Proportional to 4,999.53, 7,498.68 and 3,144.84

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Solution

The fourth proportional to 4,999.53, 7,498.68 and 3,144.84 is: 4,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.53 : 7,498.68 = 3,144.84 : x
  2. Step 2: Convert to fraction form
    4,999.53/7,498.68 = 3,144.84/x
  3. Step 3: Cross multiply
    4,999.53x = 7,498.68 × 3,144.84
  4. Step 4: Simplify right side
    4,999.53x = 23,582,148.81
  5. Step 5: Solve for x
    x = 23,582,148.81/4,999.53
  6. Step 6: Final answer
    x = 4,716.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.