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Finding the Fourth Proportional to 4,333.98, 6,471.73 and 4,288.20

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Solution

The fourth proportional to 4,333.98, 6,471.73 and 4,288.20 is: 6,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.98 : 6,471.73 = 4,288.20 : x
  2. Step 2: Convert to fraction form
    4,333.98/6,471.73 = 4,288.20/x
  3. Step 3: Cross multiply
    4,333.98x = 6,471.73 × 4,288.20
  4. Step 4: Simplify right side
    4,333.98x = 27,752,072.59
  5. Step 5: Solve for x
    x = 27,752,072.59/4,333.98
  6. Step 6: Final answer
    x = 6,403.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.