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Finding the Fourth Proportional to 4,623.68, 6,929.52 and 3,524

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Solution

The fourth proportional to 4,623.68, 6,929.52 and 3,524 is: 5,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.68 : 6,929.52 = 3,524 : x
  2. Step 2: Convert to fraction form
    4,623.68/6,929.52 = 3,524/x
  3. Step 3: Cross multiply
    4,623.68x = 6,929.52 × 3,524
  4. Step 4: Simplify right side
    4,623.68x = 24,419,628.48
  5. Step 5: Solve for x
    x = 24,419,628.48/4,623.68
  6. Step 6: Final answer
    x = 5,281.43

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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.