Home / 3,827.76-5,741.64-2,095.44

Finding the Fourth Proportional to 3,827.76, 5,741.64 and 2,095.44

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Solution

The fourth proportional to 3,827.76, 5,741.64 and 2,095.44 is: 3,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.76 : 5,741.64 = 2,095.44 : x
  2. Step 2: Convert to fraction form
    3,827.76/5,741.64 = 2,095.44/x
  3. Step 3: Cross multiply
    3,827.76x = 5,741.64 × 2,095.44
  4. Step 4: Simplify right side
    3,827.76x = 12,031,262.12
  5. Step 5: Solve for x
    x = 12,031,262.12/3,827.76
  6. Step 6: Final answer
    x = 3,143.16

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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.