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Finding the Fourth Proportional to 4,824.42, 7,228.36 and 2,634.68

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Solution

The fourth proportional to 4,824.42, 7,228.36 and 2,634.68 is: 3,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.42 : 7,228.36 = 2,634.68 : x
  2. Step 2: Convert to fraction form
    4,824.42/7,228.36 = 2,634.68/x
  3. Step 3: Cross multiply
    4,824.42x = 7,228.36 × 2,634.68
  4. Step 4: Simplify right side
    4,824.42x = 19,044,415.52
  5. Step 5: Solve for x
    x = 19,044,415.52/4,824.42
  6. Step 6: Final answer
    x = 3,947.50

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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.