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Finding the Fourth Proportional to 5,831.76, 8,749.92 and 4,050.48

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Solution

The fourth proportional to 5,831.76, 8,749.92 and 4,050.48 is: 6,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.76 : 8,749.92 = 4,050.48 : x
  2. Step 2: Convert to fraction form
    5,831.76/8,749.92 = 4,050.48/x
  3. Step 3: Cross multiply
    5,831.76x = 8,749.92 × 4,050.48
  4. Step 4: Simplify right side
    5,831.76x = 35,441,375.96
  5. Step 5: Solve for x
    x = 35,441,375.96/5,831.76
  6. Step 6: Final answer
    x = 6,077.30

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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.