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Finding the Fourth Proportional to 5,261.82, 7,892.73 and 2,339.34

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Solution

The fourth proportional to 5,261.82, 7,892.73 and 2,339.34 is: 3,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.82 : 7,892.73 = 2,339.34 : x
  2. Step 2: Convert to fraction form
    5,261.82/7,892.73 = 2,339.34/x
  3. Step 3: Cross multiply
    5,261.82x = 7,892.73 × 2,339.34
  4. Step 4: Simplify right side
    5,261.82x = 18,463,779.00
  5. Step 5: Solve for x
    x = 18,463,779.00/5,261.82
  6. Step 6: Final answer
    x = 3,509.01

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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.