Home / 3,883.06-5,824.89-1,109.74

Finding the Fourth Proportional to 3,883.06, 5,824.89 and 1,109.74

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Solution

The fourth proportional to 3,883.06, 5,824.89 and 1,109.74 is: 1,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.06 : 5,824.89 = 1,109.74 : x
  2. Step 2: Convert to fraction form
    3,883.06/5,824.89 = 1,109.74/x
  3. Step 3: Cross multiply
    3,883.06x = 5,824.89 × 1,109.74
  4. Step 4: Simplify right side
    3,883.06x = 6,464,113.43
  5. Step 5: Solve for x
    x = 6,464,113.43/3,883.06
  6. Step 6: Final answer
    x = 1,664.70

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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.