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Finding the Fourth Proportional to 5,643.75, 8,456.49 and 3,445.80

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Solution

The fourth proportional to 5,643.75, 8,456.49 and 3,445.80 is: 5,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.75 : 8,456.49 = 3,445.80 : x
  2. Step 2: Convert to fraction form
    5,643.75/8,456.49 = 3,445.80/x
  3. Step 3: Cross multiply
    5,643.75x = 8,456.49 × 3,445.80
  4. Step 4: Simplify right side
    5,643.75x = 29,139,373.24
  5. Step 5: Solve for x
    x = 29,139,373.24/5,643.75
  6. Step 6: Final answer
    x = 5,163.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.