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Finding the Fourth Proportional to 5,470.47, 8,200.04 and 2,546.37

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Solution

The fourth proportional to 5,470.47, 8,200.04 and 2,546.37 is: 3,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.47 : 8,200.04 = 2,546.37 : x
  2. Step 2: Convert to fraction form
    5,470.47/8,200.04 = 2,546.37/x
  3. Step 3: Cross multiply
    5,470.47x = 8,200.04 × 2,546.37
  4. Step 4: Simplify right side
    5,470.47x = 20,880,323.12
  5. Step 5: Solve for x
    x = 20,880,323.12/5,470.47
  6. Step 6: Final answer
    x = 3,816.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.