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Finding the Fourth Proportional to 4,649.56, 6,416.24 and 2,524.98

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Solution

The fourth proportional to 4,649.56, 6,416.24 and 2,524.98 is: 3,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.56 : 6,416.24 = 2,524.98 : x
  2. Step 2: Convert to fraction form
    4,649.56/6,416.24 = 2,524.98/x
  3. Step 3: Cross multiply
    4,649.56x = 6,416.24 × 2,524.98
  4. Step 4: Simplify right side
    4,649.56x = 16,200,877.68
  5. Step 5: Solve for x
    x = 16,200,877.68/4,649.56
  6. Step 6: Final answer
    x = 3,484.39

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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.