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Finding the Fourth Proportional to 4,613.67, 6,919.20 and 2,145.99

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Solution

The fourth proportional to 4,613.67, 6,919.20 and 2,145.99 is: 3,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.67 : 6,919.20 = 2,145.99 : x
  2. Step 2: Convert to fraction form
    4,613.67/6,919.20 = 2,145.99/x
  3. Step 3: Cross multiply
    4,613.67x = 6,919.20 × 2,145.99
  4. Step 4: Simplify right side
    4,613.67x = 14,848,534.01
  5. Step 5: Solve for x
    x = 14,848,534.01/4,613.67
  6. Step 6: Final answer
    x = 3,218.38

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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.