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Finding the Fourth Proportional to 5,242, 7,234.16 and 2,884.09

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Solution

The fourth proportional to 5,242, 7,234.16 and 2,884.09 is: 3,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242 : 7,234.16 = 2,884.09 : x
  2. Step 2: Convert to fraction form
    5,242/7,234.16 = 2,884.09/x
  3. Step 3: Cross multiply
    5,242x = 7,234.16 × 2,884.09
  4. Step 4: Simplify right side
    5,242x = 20,863,968.51
  5. Step 5: Solve for x
    x = 20,863,968.51/5,242
  6. Step 6: Final answer
    x = 3,980.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.