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Finding the Fourth Proportional to 4,739.64, 7,109.51 and 1,817.25

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Solution

The fourth proportional to 4,739.64, 7,109.51 and 1,817.25 is: 2,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.64 : 7,109.51 = 1,817.25 : x
  2. Step 2: Convert to fraction form
    4,739.64/7,109.51 = 1,817.25/x
  3. Step 3: Cross multiply
    4,739.64x = 7,109.51 × 1,817.25
  4. Step 4: Simplify right side
    4,739.64x = 12,919,747.96
  5. Step 5: Solve for x
    x = 12,919,747.96/4,739.64
  6. Step 6: Final answer
    x = 2,725.89

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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.