Home / 5,224.75-7,837.53-1,762

Finding the Fourth Proportional to 5,224.75, 7,837.53 and 1,762

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Solution

The fourth proportional to 5,224.75, 7,837.53 and 1,762 is: 2,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.75 : 7,837.53 = 1,762 : x
  2. Step 2: Convert to fraction form
    5,224.75/7,837.53 = 1,762/x
  3. Step 3: Cross multiply
    5,224.75x = 7,837.53 × 1,762
  4. Step 4: Simplify right side
    5,224.75x = 13,809,727.86
  5. Step 5: Solve for x
    x = 13,809,727.86/5,224.75
  6. Step 6: Final answer
    x = 2,643.14

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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.