Home / 3,827.84-5,741.86-1,054.62

Finding the Fourth Proportional to 3,827.84, 5,741.86 and 1,054.62

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Solution

The fourth proportional to 3,827.84, 5,741.86 and 1,054.62 is: 1,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.84 : 5,741.86 = 1,054.62 : x
  2. Step 2: Convert to fraction form
    3,827.84/5,741.86 = 1,054.62/x
  3. Step 3: Cross multiply
    3,827.84x = 5,741.86 × 1,054.62
  4. Step 4: Simplify right side
    3,827.84x = 6,055,480.39
  5. Step 5: Solve for x
    x = 6,055,480.39/3,827.84
  6. Step 6: Final answer
    x = 1,581.96

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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.