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Finding the Fourth Proportional to 3,670.65, 5,511.42 and 3,561.30

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Solution

The fourth proportional to 3,670.65, 5,511.42 and 3,561.30 is: 5,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.65 : 5,511.42 = 3,561.30 : x
  2. Step 2: Convert to fraction form
    3,670.65/5,511.42 = 3,561.30/x
  3. Step 3: Cross multiply
    3,670.65x = 5,511.42 × 3,561.30
  4. Step 4: Simplify right side
    3,670.65x = 19,627,820.05
  5. Step 5: Solve for x
    x = 19,627,820.05/3,670.65
  6. Step 6: Final answer
    x = 5,347.23

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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.