Home / 3,827.84-5,742.42-1,364.08

Finding the Fourth Proportional to 3,827.84, 5,742.42 and 1,364.08

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Solution

The fourth proportional to 3,827.84, 5,742.42 and 1,364.08 is: 2,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.84 : 5,742.42 = 1,364.08 : x
  2. Step 2: Convert to fraction form
    3,827.84/5,742.42 = 1,364.08/x
  3. Step 3: Cross multiply
    3,827.84x = 5,742.42 × 1,364.08
  4. Step 4: Simplify right side
    3,827.84x = 7,833,120.27
  5. Step 5: Solve for x
    x = 7,833,120.27/3,827.84
  6. Step 6: Final answer
    x = 2,046.36

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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.