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Finding the Fourth Proportional to 4,644.96, 6,968.34 and 2,047.86

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Solution

The fourth proportional to 4,644.96, 6,968.34 and 2,047.86 is: 3,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.96 : 6,968.34 = 2,047.86 : x
  2. Step 2: Convert to fraction form
    4,644.96/6,968.34 = 2,047.86/x
  3. Step 3: Cross multiply
    4,644.96x = 6,968.34 × 2,047.86
  4. Step 4: Simplify right side
    4,644.96x = 14,270,184.75
  5. Step 5: Solve for x
    x = 14,270,184.75/4,644.96
  6. Step 6: Final answer
    x = 3,072.19

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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.