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Finding the Fourth Proportional to 4,099.68, 6,144.88 and 3,605.14

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Solution

The fourth proportional to 4,099.68, 6,144.88 and 3,605.14 is: 5,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.68 : 6,144.88 = 3,605.14 : x
  2. Step 2: Convert to fraction form
    4,099.68/6,144.88 = 3,605.14/x
  3. Step 3: Cross multiply
    4,099.68x = 6,144.88 × 3,605.14
  4. Step 4: Simplify right side
    4,099.68x = 22,153,152.68
  5. Step 5: Solve for x
    x = 22,153,152.68/4,099.68
  6. Step 6: Final answer
    x = 5,403.63

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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.