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Finding the Fourth Proportional to 5,470.76, 7,548.83 and 3,080.39

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Solution

The fourth proportional to 5,470.76, 7,548.83 and 3,080.39 is: 4,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.76 : 7,548.83 = 3,080.39 : x
  2. Step 2: Convert to fraction form
    5,470.76/7,548.83 = 3,080.39/x
  3. Step 3: Cross multiply
    5,470.76x = 7,548.83 × 3,080.39
  4. Step 4: Simplify right side
    5,470.76x = 23,253,287.30
  5. Step 5: Solve for x
    x = 23,253,287.30/5,470.76
  6. Step 6: Final answer
    x = 4,250.47

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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.