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Finding the Fourth Proportional to 5,831.50, 8,741.74 and 2,323.68

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Solution

The fourth proportional to 5,831.50, 8,741.74 and 2,323.68 is: 3,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.50 : 8,741.74 = 2,323.68 : x
  2. Step 2: Convert to fraction form
    5,831.50/8,741.74 = 2,323.68/x
  3. Step 3: Cross multiply
    5,831.50x = 8,741.74 × 2,323.68
  4. Step 4: Simplify right side
    5,831.50x = 20,313,006.40
  5. Step 5: Solve for x
    x = 20,313,006.40/5,831.50
  6. Step 6: Final answer
    x = 3,483.32

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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.