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Finding the Fourth Proportional to 5,165.36, 7,762.01 and 2,702

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Solution

The fourth proportional to 5,165.36, 7,762.01 and 2,702 is: 4,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.36 : 7,762.01 = 2,702 : x
  2. Step 2: Convert to fraction form
    5,165.36/7,762.01 = 2,702/x
  3. Step 3: Cross multiply
    5,165.36x = 7,762.01 × 2,702
  4. Step 4: Simplify right side
    5,165.36x = 20,972,951.02
  5. Step 5: Solve for x
    x = 20,972,951.02/5,165.36
  6. Step 6: Final answer
    x = 4,060.31

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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.