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Finding the Fourth Proportional to 5,943.50, 8,203.29 and 4,947.80

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Solution

The fourth proportional to 5,943.50, 8,203.29 and 4,947.80 is: 6,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.50 : 8,203.29 = 4,947.80 : x
  2. Step 2: Convert to fraction form
    5,943.50/8,203.29 = 4,947.80/x
  3. Step 3: Cross multiply
    5,943.50x = 8,203.29 × 4,947.80
  4. Step 4: Simplify right side
    5,943.50x = 40,588,197.25
  5. Step 5: Solve for x
    x = 40,588,197.25/5,943.50
  6. Step 6: Final answer
    x = 6,829.01

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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.