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Finding the Fourth Proportional to 4,609.63, 6,899.47 and 2,524.39

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Solution

The fourth proportional to 4,609.63, 6,899.47 and 2,524.39 is: 3,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.63 : 6,899.47 = 2,524.39 : x
  2. Step 2: Convert to fraction form
    4,609.63/6,899.47 = 2,524.39/x
  3. Step 3: Cross multiply
    4,609.63x = 6,899.47 × 2,524.39
  4. Step 4: Simplify right side
    4,609.63x = 17,416,953.07
  5. Step 5: Solve for x
    x = 17,416,953.07/4,609.63
  6. Step 6: Final answer
    x = 3,778.38

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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.