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Finding the Fourth Proportional to 4,860, 7,277.76 and 3,980.43

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Solution

The fourth proportional to 4,860, 7,277.76 and 3,980.43 is: 5,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860 : 7,277.76 = 3,980.43 : x
  2. Step 2: Convert to fraction form
    4,860/7,277.76 = 3,980.43/x
  3. Step 3: Cross multiply
    4,860x = 7,277.76 × 3,980.43
  4. Step 4: Simplify right side
    4,860x = 28,968,614.24
  5. Step 5: Solve for x
    x = 28,968,614.24/4,860
  6. Step 6: Final answer
    x = 5,960.62

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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.