Home / 3,830.02-5,743.22-1,364.80

Finding the Fourth Proportional to 3,830.02, 5,743.22 and 1,364.80

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Solution

The fourth proportional to 3,830.02, 5,743.22 and 1,364.80 is: 2,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.02 : 5,743.22 = 1,364.80 : x
  2. Step 2: Convert to fraction form
    3,830.02/5,743.22 = 1,364.80/x
  3. Step 3: Cross multiply
    3,830.02x = 5,743.22 × 1,364.80
  4. Step 4: Simplify right side
    3,830.02x = 7,838,346.66
  5. Step 5: Solve for x
    x = 7,838,346.66/3,830.02
  6. Step 6: Final answer
    x = 2,046.56

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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.