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Finding the Fourth Proportional to 5,938.54, 8,210.84 and 5,200.43

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Solution

The fourth proportional to 5,938.54, 8,210.84 and 5,200.43 is: 7,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.54 : 8,210.84 = 5,200.43 : x
  2. Step 2: Convert to fraction form
    5,938.54/8,210.84 = 5,200.43/x
  3. Step 3: Cross multiply
    5,938.54x = 8,210.84 × 5,200.43
  4. Step 4: Simplify right side
    5,938.54x = 42,699,831.60
  5. Step 5: Solve for x
    x = 42,699,831.60/5,938.54
  6. Step 6: Final answer
    x = 7,190.29

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Why These Related Problems?

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