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Finding the Fourth Proportional to 3,209.94, 4,807.62 and 2,039.94

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Solution

The fourth proportional to 3,209.94, 4,807.62 and 2,039.94 is: 3,055.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.94 : 4,807.62 = 2,039.94 : x
  2. Step 2: Convert to fraction form
    3,209.94/4,807.62 = 2,039.94/x
  3. Step 3: Cross multiply
    3,209.94x = 4,807.62 × 2,039.94
  4. Step 4: Simplify right side
    3,209.94x = 9,807,256.34
  5. Step 5: Solve for x
    x = 9,807,256.34/3,209.94
  6. Step 6: Final answer
    x = 3,055.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.