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Finding the Fourth Proportional to 6,337.50, 8,745.75 and 3,543

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Solution

The fourth proportional to 6,337.50, 8,745.75 and 3,543 is: 4,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.50 : 8,745.75 = 3,543 : x
  2. Step 2: Convert to fraction form
    6,337.50/8,745.75 = 3,543/x
  3. Step 3: Cross multiply
    6,337.50x = 8,745.75 × 3,543
  4. Step 4: Simplify right side
    6,337.50x = 30,986,192.25
  5. Step 5: Solve for x
    x = 30,986,192.25/6,337.50
  6. Step 6: Final answer
    x = 4,889.34

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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.