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Finding the Fourth Proportional to 3,657.78, 5,486.76 and 1,809

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Solution

The fourth proportional to 3,657.78, 5,486.76 and 1,809 is: 2,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.78 : 5,486.76 = 1,809 : x
  2. Step 2: Convert to fraction form
    3,657.78/5,486.76 = 1,809/x
  3. Step 3: Cross multiply
    3,657.78x = 5,486.76 × 1,809
  4. Step 4: Simplify right side
    3,657.78x = 9,925,548.84
  5. Step 5: Solve for x
    x = 9,925,548.84/3,657.78
  6. Step 6: Final answer
    x = 2,713.54

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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.