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Finding the Fourth Proportional to 5,945.88, 8,197.55 and 3,703.87

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Solution

The fourth proportional to 5,945.88, 8,197.55 and 3,703.87 is: 5,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.88 : 8,197.55 = 3,703.87 : x
  2. Step 2: Convert to fraction form
    5,945.88/8,197.55 = 3,703.87/x
  3. Step 3: Cross multiply
    5,945.88x = 8,197.55 × 3,703.87
  4. Step 4: Simplify right side
    5,945.88x = 30,362,659.52
  5. Step 5: Solve for x
    x = 30,362,659.52/5,945.88
  6. Step 6: Final answer
    x = 5,106.50

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