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Finding the Fourth Proportional to 4,274.37, 6,413.54 and 1,809.77

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Solution

The fourth proportional to 4,274.37, 6,413.54 and 1,809.77 is: 2,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.37 : 6,413.54 = 1,809.77 : x
  2. Step 2: Convert to fraction form
    4,274.37/6,413.54 = 1,809.77/x
  3. Step 3: Cross multiply
    4,274.37x = 6,413.54 × 1,809.77
  4. Step 4: Simplify right side
    4,274.37x = 11,606,991.17
  5. Step 5: Solve for x
    x = 11,606,991.17/4,274.37
  6. Step 6: Final answer
    x = 2,715.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.