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Finding the Fourth Proportional to 4,620.84, 6,933.64 and 2,542.48

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Solution

The fourth proportional to 4,620.84, 6,933.64 and 2,542.48 is: 3,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.84 : 6,933.64 = 2,542.48 : x
  2. Step 2: Convert to fraction form
    4,620.84/6,933.64 = 2,542.48/x
  3. Step 3: Cross multiply
    4,620.84x = 6,933.64 × 2,542.48
  4. Step 4: Simplify right side
    4,620.84x = 17,628,641.03
  5. Step 5: Solve for x
    x = 17,628,641.03/4,620.84
  6. Step 6: Final answer
    x = 3,815.03

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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.