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Finding the Fourth Proportional to 5,729.01, 8,578.94 and 3,775.29

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Solution

The fourth proportional to 5,729.01, 8,578.94 and 3,775.29 is: 5,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.01 : 8,578.94 = 3,775.29 : x
  2. Step 2: Convert to fraction form
    5,729.01/8,578.94 = 3,775.29/x
  3. Step 3: Cross multiply
    5,729.01x = 8,578.94 × 3,775.29
  4. Step 4: Simplify right side
    5,729.01x = 32,387,967.52
  5. Step 5: Solve for x
    x = 32,387,967.52/5,729.01
  6. Step 6: Final answer
    x = 5,653.33

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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.