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Finding the Fourth Proportional to 3,485.94, 5,221.98 and 1,634.52

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Solution

The fourth proportional to 3,485.94, 5,221.98 and 1,634.52 is: 2,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.94 : 5,221.98 = 1,634.52 : x
  2. Step 2: Convert to fraction form
    3,485.94/5,221.98 = 1,634.52/x
  3. Step 3: Cross multiply
    3,485.94x = 5,221.98 × 1,634.52
  4. Step 4: Simplify right side
    3,485.94x = 8,535,430.75
  5. Step 5: Solve for x
    x = 8,535,430.75/3,485.94
  6. Step 6: Final answer
    x = 2,448.53

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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.