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Finding the Fourth Proportional to 5,145.64, 7,720.08 and 3,067.99

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Solution

The fourth proportional to 5,145.64, 7,720.08 and 3,067.99 is: 4,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.64 : 7,720.08 = 3,067.99 : x
  2. Step 2: Convert to fraction form
    5,145.64/7,720.08 = 3,067.99/x
  3. Step 3: Cross multiply
    5,145.64x = 7,720.08 × 3,067.99
  4. Step 4: Simplify right side
    5,145.64x = 23,685,097.43
  5. Step 5: Solve for x
    x = 23,685,097.43/5,145.64
  6. Step 6: Final answer
    x = 4,602.95

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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.