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Finding the Fourth Proportional to 4,276.63, 6,413.43 and 1,644.34

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Solution

The fourth proportional to 4,276.63, 6,413.43 and 1,644.34 is: 2,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.63 : 6,413.43 = 1,644.34 : x
  2. Step 2: Convert to fraction form
    4,276.63/6,413.43 = 1,644.34/x
  3. Step 3: Cross multiply
    4,276.63x = 6,413.43 × 1,644.34
  4. Step 4: Simplify right side
    4,276.63x = 10,545,859.49
  5. Step 5: Solve for x
    x = 10,545,859.49/4,276.63
  6. Step 6: Final answer
    x = 2,465.93

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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.