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Finding the Fourth Proportional to 3,509.60, 5,238.71 and 3,094.43

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Solution

The fourth proportional to 3,509.60, 5,238.71 and 3,094.43 is: 4,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.60 : 5,238.71 = 3,094.43 : x
  2. Step 2: Convert to fraction form
    3,509.60/5,238.71 = 3,094.43/x
  3. Step 3: Cross multiply
    3,509.60x = 5,238.71 × 3,094.43
  4. Step 4: Simplify right side
    3,509.60x = 16,210,791.32
  5. Step 5: Solve for x
    x = 16,210,791.32/3,509.60
  6. Step 6: Final answer
    x = 4,618.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.