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Finding the Fourth Proportional to 3,805.07, 5,703.03 and 1,957.05

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Solution

The fourth proportional to 3,805.07, 5,703.03 and 1,957.05 is: 2,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.07 : 5,703.03 = 1,957.05 : x
  2. Step 2: Convert to fraction form
    3,805.07/5,703.03 = 1,957.05/x
  3. Step 3: Cross multiply
    3,805.07x = 5,703.03 × 1,957.05
  4. Step 4: Simplify right side
    3,805.07x = 11,161,114.86
  5. Step 5: Solve for x
    x = 11,161,114.86/3,805.07
  6. Step 6: Final answer
    x = 2,933.23

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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.