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Finding the Fourth Proportional to 4,463.63, 6,699.60 and 2,274

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Solution

The fourth proportional to 4,463.63, 6,699.60 and 2,274 is: 3,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.63 : 6,699.60 = 2,274 : x
  2. Step 2: Convert to fraction form
    4,463.63/6,699.60 = 2,274/x
  3. Step 3: Cross multiply
    4,463.63x = 6,699.60 × 2,274
  4. Step 4: Simplify right side
    4,463.63x = 15,234,890.40
  5. Step 5: Solve for x
    x = 15,234,890.40/4,463.63
  6. Step 6: Final answer
    x = 3,413.12

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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.