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Finding the Fourth Proportional to 3,643.60, 5,466.36 and 1,889.56

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Solution

The fourth proportional to 3,643.60, 5,466.36 and 1,889.56 is: 2,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.60 : 5,466.36 = 1,889.56 : x
  2. Step 2: Convert to fraction form
    3,643.60/5,466.36 = 1,889.56/x
  3. Step 3: Cross multiply
    3,643.60x = 5,466.36 × 1,889.56
  4. Step 4: Simplify right side
    3,643.60x = 10,329,015.20
  5. Step 5: Solve for x
    x = 10,329,015.20/3,643.60
  6. Step 6: Final answer
    x = 2,834.84

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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.