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Finding the Fourth Proportional to 3,783.08, 5,220.50 and 2,104.36

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Solution

The fourth proportional to 3,783.08, 5,220.50 and 2,104.36 is: 2,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.08 : 5,220.50 = 2,104.36 : x
  2. Step 2: Convert to fraction form
    3,783.08/5,220.50 = 2,104.36/x
  3. Step 3: Cross multiply
    3,783.08x = 5,220.50 × 2,104.36
  4. Step 4: Simplify right side
    3,783.08x = 10,985,811.38
  5. Step 5: Solve for x
    x = 10,985,811.38/3,783.08
  6. Step 6: Final answer
    x = 2,903.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.