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Finding the Fourth Proportional to 5,640.29, 8,447.63 and 4,525.82

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Solution

The fourth proportional to 5,640.29, 8,447.63 and 4,525.82 is: 6,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.29 : 8,447.63 = 4,525.82 : x
  2. Step 2: Convert to fraction form
    5,640.29/8,447.63 = 4,525.82/x
  3. Step 3: Cross multiply
    5,640.29x = 8,447.63 × 4,525.82
  4. Step 4: Simplify right side
    5,640.29x = 38,232,387.94
  5. Step 5: Solve for x
    x = 38,232,387.94/5,640.29
  6. Step 6: Final answer
    x = 6,778.45

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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.