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Finding the Fourth Proportional to 3,485.80, 5,228.70 and 1,433.80

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Solution

The fourth proportional to 3,485.80, 5,228.70 and 1,433.80 is: 2,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.80 : 5,228.70 = 1,433.80 : x
  2. Step 2: Convert to fraction form
    3,485.80/5,228.70 = 1,433.80/x
  3. Step 3: Cross multiply
    3,485.80x = 5,228.70 × 1,433.80
  4. Step 4: Simplify right side
    3,485.80x = 7,496,910.06
  5. Step 5: Solve for x
    x = 7,496,910.06/3,485.80
  6. Step 6: Final answer
    x = 2,150.70

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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.