Home / 3,823.61-5,734.33-1,742.51

Finding the Fourth Proportional to 3,823.61, 5,734.33 and 1,742.51

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Solution

The fourth proportional to 3,823.61, 5,734.33 and 1,742.51 is: 2,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.61 : 5,734.33 = 1,742.51 : x
  2. Step 2: Convert to fraction form
    3,823.61/5,734.33 = 1,742.51/x
  3. Step 3: Cross multiply
    3,823.61x = 5,734.33 × 1,742.51
  4. Step 4: Simplify right side
    3,823.61x = 9,992,137.35
  5. Step 5: Solve for x
    x = 9,992,137.35/3,823.61
  6. Step 6: Final answer
    x = 2,613.28

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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.