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Finding the Fourth Proportional to 3,628.32, 5,441.44 and 1,985.60

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Solution

The fourth proportional to 3,628.32, 5,441.44 and 1,985.60 is: 2,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.32 : 5,441.44 = 1,985.60 : x
  2. Step 2: Convert to fraction form
    3,628.32/5,441.44 = 1,985.60/x
  3. Step 3: Cross multiply
    3,628.32x = 5,441.44 × 1,985.60
  4. Step 4: Simplify right side
    3,628.32x = 10,804,523.26
  5. Step 5: Solve for x
    x = 10,804,523.26/3,628.32
  6. Step 6: Final answer
    x = 2,977.83

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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.