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Finding the Fourth Proportional to 5,831.90, 8,749.10 and 2,134.12

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Solution

The fourth proportional to 5,831.90, 8,749.10 and 2,134.12 is: 3,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.90 : 8,749.10 = 2,134.12 : x
  2. Step 2: Convert to fraction form
    5,831.90/8,749.10 = 2,134.12/x
  3. Step 3: Cross multiply
    5,831.90x = 8,749.10 × 2,134.12
  4. Step 4: Simplify right side
    5,831.90x = 18,671,629.29
  5. Step 5: Solve for x
    x = 18,671,629.29/5,831.90
  6. Step 6: Final answer
    x = 3,201.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.