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Finding the Fourth Proportional to 3,643.74, 5,460.37 and 1,563.19

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Solution

The fourth proportional to 3,643.74, 5,460.37 and 1,563.19 is: 2,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.74 : 5,460.37 = 1,563.19 : x
  2. Step 2: Convert to fraction form
    3,643.74/5,460.37 = 1,563.19/x
  3. Step 3: Cross multiply
    3,643.74x = 5,460.37 × 1,563.19
  4. Step 4: Simplify right side
    3,643.74x = 8,535,578.22
  5. Step 5: Solve for x
    x = 8,535,578.22/3,643.74
  6. Step 6: Final answer
    x = 2,342.53

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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.