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Finding the Fourth Proportional to 3,656.22, 5,464.85 and 3,184.05

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Solution

The fourth proportional to 3,656.22, 5,464.85 and 3,184.05 is: 4,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.22 : 5,464.85 = 3,184.05 : x
  2. Step 2: Convert to fraction form
    3,656.22/5,464.85 = 3,184.05/x
  3. Step 3: Cross multiply
    3,656.22x = 5,464.85 × 3,184.05
  4. Step 4: Simplify right side
    3,656.22x = 17,400,339.72
  5. Step 5: Solve for x
    x = 17,400,339.72/3,656.22
  6. Step 6: Final answer
    x = 4,759.11

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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.