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Finding the Fourth Proportional to 3,596.68, 5,386.62 and 2,768.38

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Solution

The fourth proportional to 3,596.68, 5,386.62 and 2,768.38 is: 4,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.68 : 5,386.62 = 2,768.38 : x
  2. Step 2: Convert to fraction form
    3,596.68/5,386.62 = 2,768.38/x
  3. Step 3: Cross multiply
    3,596.68x = 5,386.62 × 2,768.38
  4. Step 4: Simplify right side
    3,596.68x = 14,912,211.08
  5. Step 5: Solve for x
    x = 14,912,211.08/3,596.68
  6. Step 6: Final answer
    x = 4,146.10

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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.