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Finding the Fourth Proportional to 3,655.26, 5,481.53 and 1,314.63

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Solution

The fourth proportional to 3,655.26, 5,481.53 and 1,314.63 is: 1,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.26 : 5,481.53 = 1,314.63 : x
  2. Step 2: Convert to fraction form
    3,655.26/5,481.53 = 1,314.63/x
  3. Step 3: Cross multiply
    3,655.26x = 5,481.53 × 1,314.63
  4. Step 4: Simplify right side
    3,655.26x = 7,206,161.58
  5. Step 5: Solve for x
    x = 7,206,161.58/3,655.26
  6. Step 6: Final answer
    x = 1,971.45

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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.