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Finding the Fourth Proportional to 5,574.42, 8,362.43 and 2,975.94

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Solution

The fourth proportional to 5,574.42, 8,362.43 and 2,975.94 is: 4,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.42 : 8,362.43 = 2,975.94 : x
  2. Step 2: Convert to fraction form
    5,574.42/8,362.43 = 2,975.94/x
  3. Step 3: Cross multiply
    5,574.42x = 8,362.43 × 2,975.94
  4. Step 4: Simplify right side
    5,574.42x = 24,886,055.56
  5. Step 5: Solve for x
    x = 24,886,055.56/5,574.42
  6. Step 6: Final answer
    x = 4,464.33

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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.