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Finding the Fourth Proportional to 3,775.66, 5,625.21 and 3,589.77

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Solution

The fourth proportional to 3,775.66, 5,625.21 and 3,589.77 is: 5,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.66 : 5,625.21 = 3,589.77 : x
  2. Step 2: Convert to fraction form
    3,775.66/5,625.21 = 3,589.77/x
  3. Step 3: Cross multiply
    3,775.66x = 5,625.21 × 3,589.77
  4. Step 4: Simplify right side
    3,775.66x = 20,193,210.10
  5. Step 5: Solve for x
    x = 20,193,210.10/3,775.66
  6. Step 6: Final answer
    x = 5,348.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.