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Finding the Fourth Proportional to 4,257.63, 5,824.98 and 4,239.14

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Solution

The fourth proportional to 4,257.63, 5,824.98 and 4,239.14 is: 5,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.63 : 5,824.98 = 4,239.14 : x
  2. Step 2: Convert to fraction form
    4,257.63/5,824.98 = 4,239.14/x
  3. Step 3: Cross multiply
    4,257.63x = 5,824.98 × 4,239.14
  4. Step 4: Simplify right side
    4,257.63x = 24,692,876.59
  5. Step 5: Solve for x
    x = 24,692,876.59/4,257.63
  6. Step 6: Final answer
    x = 5,799.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.