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Finding the Fourth Proportional to 5,625.99, 7,762.43 and 3,830.22

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Solution

The fourth proportional to 5,625.99, 7,762.43 and 3,830.22 is: 5,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.99 : 7,762.43 = 3,830.22 : x
  2. Step 2: Convert to fraction form
    5,625.99/7,762.43 = 3,830.22/x
  3. Step 3: Cross multiply
    5,625.99x = 7,762.43 × 3,830.22
  4. Step 4: Simplify right side
    5,625.99x = 29,731,824.21
  5. Step 5: Solve for x
    x = 29,731,824.21/5,625.99
  6. Step 6: Final answer
    x = 5,284.73

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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.