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Finding the Fourth Proportional to 4,887.72, 7,333.02 and 1,809

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Solution

The fourth proportional to 4,887.72, 7,333.02 and 1,809 is: 2,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.72 : 7,333.02 = 1,809 : x
  2. Step 2: Convert to fraction form
    4,887.72/7,333.02 = 1,809/x
  3. Step 3: Cross multiply
    4,887.72x = 7,333.02 × 1,809
  4. Step 4: Simplify right side
    4,887.72x = 13,265,433.18
  5. Step 5: Solve for x
    x = 13,265,433.18/4,887.72
  6. Step 6: Final answer
    x = 2,714.03

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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.