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Finding the Fourth Proportional to 3,438.01, 4,744.44 and 1,945.93

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Solution

The fourth proportional to 3,438.01, 4,744.44 and 1,945.93 is: 2,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.01 : 4,744.44 = 1,945.93 : x
  2. Step 2: Convert to fraction form
    3,438.01/4,744.44 = 1,945.93/x
  3. Step 3: Cross multiply
    3,438.01x = 4,744.44 × 1,945.93
  4. Step 4: Simplify right side
    3,438.01x = 9,232,348.13
  5. Step 5: Solve for x
    x = 9,232,348.13/3,438.01
  6. Step 6: Final answer
    x = 2,685.38

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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.