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Finding the Fourth Proportional to 5,389.76, 8,084.64 and 3,200.33

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Solution

The fourth proportional to 5,389.76, 8,084.64 and 3,200.33 is: 4,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.76 : 8,084.64 = 3,200.33 : x
  2. Step 2: Convert to fraction form
    5,389.76/8,084.64 = 3,200.33/x
  3. Step 3: Cross multiply
    5,389.76x = 8,084.64 × 3,200.33
  4. Step 4: Simplify right side
    5,389.76x = 25,873,475.51
  5. Step 5: Solve for x
    x = 25,873,475.51/5,389.76
  6. Step 6: Final answer
    x = 4,800.49

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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.