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Finding the Fourth Proportional to 5,268, 7,270.48 and 3,060

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Solution

The fourth proportional to 5,268, 7,270.48 and 3,060 is: 4,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268 : 7,270.48 = 3,060 : x
  2. Step 2: Convert to fraction form
    5,268/7,270.48 = 3,060/x
  3. Step 3: Cross multiply
    5,268x = 7,270.48 × 3,060
  4. Step 4: Simplify right side
    5,268x = 22,247,668.80
  5. Step 5: Solve for x
    x = 22,247,668.80/5,268
  6. Step 6: Final answer
    x = 4,223.17

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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.