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Finding the Fourth Proportional to 4,975.29, 7,464.21 and 1,465.41

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Solution

The fourth proportional to 4,975.29, 7,464.21 and 1,465.41 is: 2,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.29 : 7,464.21 = 1,465.41 : x
  2. Step 2: Convert to fraction form
    4,975.29/7,464.21 = 1,465.41/x
  3. Step 3: Cross multiply
    4,975.29x = 7,464.21 × 1,465.41
  4. Step 4: Simplify right side
    4,975.29x = 10,938,127.98
  5. Step 5: Solve for x
    x = 10,938,127.98/4,975.29
  6. Step 6: Final answer
    x = 2,198.49

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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.