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Finding the Fourth Proportional to 3,617.57, 5,427.03 and 1,643.34

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Solution

The fourth proportional to 3,617.57, 5,427.03 and 1,643.34 is: 2,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.57 : 5,427.03 = 1,643.34 : x
  2. Step 2: Convert to fraction form
    3,617.57/5,427.03 = 1,643.34/x
  3. Step 3: Cross multiply
    3,617.57x = 5,427.03 × 1,643.34
  4. Step 4: Simplify right side
    3,617.57x = 8,918,455.48
  5. Step 5: Solve for x
    x = 8,918,455.48/3,617.57
  6. Step 6: Final answer
    x = 2,465.32

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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.