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Finding the Fourth Proportional to 5,831.35, 8,049.96 and 3,440.51

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Solution

The fourth proportional to 5,831.35, 8,049.96 and 3,440.51 is: 4,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.35 : 8,049.96 = 3,440.51 : x
  2. Step 2: Convert to fraction form
    5,831.35/8,049.96 = 3,440.51/x
  3. Step 3: Cross multiply
    5,831.35x = 8,049.96 × 3,440.51
  4. Step 4: Simplify right side
    5,831.35x = 27,695,967.88
  5. Step 5: Solve for x
    x = 27,695,967.88/5,831.35
  6. Step 6: Final answer
    x = 4,749.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.