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Finding the Fourth Proportional to 4,732, 6,530.37 and 2,843.75

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Solution

The fourth proportional to 4,732, 6,530.37 and 2,843.75 is: 3,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732 : 6,530.37 = 2,843.75 : x
  2. Step 2: Convert to fraction form
    4,732/6,530.37 = 2,843.75/x
  3. Step 3: Cross multiply
    4,732x = 6,530.37 × 2,843.75
  4. Step 4: Simplify right side
    4,732x = 18,570,739.69
  5. Step 5: Solve for x
    x = 18,570,739.69/4,732
  6. Step 6: Final answer
    x = 3,924.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.