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Finding the Fourth Proportional to 5,603.15, 8,409.94 and 2,831.78

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Solution

The fourth proportional to 5,603.15, 8,409.94 and 2,831.78 is: 4,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.15 : 8,409.94 = 2,831.78 : x
  2. Step 2: Convert to fraction form
    5,603.15/8,409.94 = 2,831.78/x
  3. Step 3: Cross multiply
    5,603.15x = 8,409.94 × 2,831.78
  4. Step 4: Simplify right side
    5,603.15x = 23,815,113.84
  5. Step 5: Solve for x
    x = 23,815,113.84/5,603.15
  6. Step 6: Final answer
    x = 4,250.31

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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.