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Finding the Fourth Proportional to 3,488.73, 4,809 and 2,646.06

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Solution

The fourth proportional to 3,488.73, 4,809 and 2,646.06 is: 3,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.73 : 4,809 = 2,646.06 : x
  2. Step 2: Convert to fraction form
    3,488.73/4,809 = 2,646.06/x
  3. Step 3: Cross multiply
    3,488.73x = 4,809 × 2,646.06
  4. Step 4: Simplify right side
    3,488.73x = 12,724,902.54
  5. Step 5: Solve for x
    x = 12,724,902.54/3,488.73
  6. Step 6: Final answer
    x = 3,647.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.