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Finding the Fourth Proportional to 4,977.68, 7,462.44 and 2,756.43

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Solution

The fourth proportional to 4,977.68, 7,462.44 and 2,756.43 is: 4,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.68 : 7,462.44 = 2,756.43 : x
  2. Step 2: Convert to fraction form
    4,977.68/7,462.44 = 2,756.43/x
  3. Step 3: Cross multiply
    4,977.68x = 7,462.44 × 2,756.43
  4. Step 4: Simplify right side
    4,977.68x = 20,569,693.49
  5. Step 5: Solve for x
    x = 20,569,693.49/4,977.68
  6. Step 6: Final answer
    x = 4,132.39

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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.