Home / 3,831.84-5,749.43-2,098.44

Finding the Fourth Proportional to 3,831.84, 5,749.43 and 2,098.44

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Solution

The fourth proportional to 3,831.84, 5,749.43 and 2,098.44 is: 3,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.84 : 5,749.43 = 2,098.44 : x
  2. Step 2: Convert to fraction form
    3,831.84/5,749.43 = 2,098.44/x
  3. Step 3: Cross multiply
    3,831.84x = 5,749.43 × 2,098.44
  4. Step 4: Simplify right side
    3,831.84x = 12,064,823.40
  5. Step 5: Solve for x
    x = 12,064,823.40/3,831.84
  6. Step 6: Final answer
    x = 3,148.57

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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.