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Finding the Fourth Proportional to 4,661.42, 6,993.16 and 1,542.40

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Solution

The fourth proportional to 4,661.42, 6,993.16 and 1,542.40 is: 2,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.42 : 6,993.16 = 1,542.40 : x
  2. Step 2: Convert to fraction form
    4,661.42/6,993.16 = 1,542.40/x
  3. Step 3: Cross multiply
    4,661.42x = 6,993.16 × 1,542.40
  4. Step 4: Simplify right side
    4,661.42x = 10,786,249.98
  5. Step 5: Solve for x
    x = 10,786,249.98/4,661.42
  6. Step 6: Final answer
    x = 2,313.94

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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.