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Finding the Fourth Proportional to 3,973.65, 5,483.73 and 2,205.33

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Solution

The fourth proportional to 3,973.65, 5,483.73 and 2,205.33 is: 3,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.65 : 5,483.73 = 2,205.33 : x
  2. Step 2: Convert to fraction form
    3,973.65/5,483.73 = 2,205.33/x
  3. Step 3: Cross multiply
    3,973.65x = 5,483.73 × 2,205.33
  4. Step 4: Simplify right side
    3,973.65x = 12,093,434.28
  5. Step 5: Solve for x
    x = 12,093,434.28/3,973.65
  6. Step 6: Final answer
    x = 3,043.41

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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.