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Finding the Fourth Proportional to 3,670.69, 5,492.24 and 2,184.44

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Solution

The fourth proportional to 3,670.69, 5,492.24 and 2,184.44 is: 3,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.69 : 5,492.24 = 2,184.44 : x
  2. Step 2: Convert to fraction form
    3,670.69/5,492.24 = 2,184.44/x
  3. Step 3: Cross multiply
    3,670.69x = 5,492.24 × 2,184.44
  4. Step 4: Simplify right side
    3,670.69x = 11,997,468.75
  5. Step 5: Solve for x
    x = 11,997,468.75/3,670.69
  6. Step 6: Final answer
    x = 3,268.45

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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.