Home / 3,827.52-5,741.64-1,362.24

Finding the Fourth Proportional to 3,827.52, 5,741.64 and 1,362.24

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Solution

The fourth proportional to 3,827.52, 5,741.64 and 1,362.24 is: 2,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.52 : 5,741.64 = 1,362.24 : x
  2. Step 2: Convert to fraction form
    3,827.52/5,741.64 = 1,362.24/x
  3. Step 3: Cross multiply
    3,827.52x = 5,741.64 × 1,362.24
  4. Step 4: Simplify right side
    3,827.52x = 7,821,491.67
  5. Step 5: Solve for x
    x = 7,821,491.67/3,827.52
  6. Step 6: Final answer
    x = 2,043.49

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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.