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Finding the Fourth Proportional to 5,737.51, 7,909.77 and 3,845.80

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Solution

The fourth proportional to 5,737.51, 7,909.77 and 3,845.80 is: 5,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.51 : 7,909.77 = 3,845.80 : x
  2. Step 2: Convert to fraction form
    5,737.51/7,909.77 = 3,845.80/x
  3. Step 3: Cross multiply
    5,737.51x = 7,909.77 × 3,845.80
  4. Step 4: Simplify right side
    5,737.51x = 30,419,393.47
  5. Step 5: Solve for x
    x = 30,419,393.47/5,737.51
  6. Step 6: Final answer
    x = 5,301.85

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1.5x scale

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.