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Finding the Fourth Proportional to 4,649.94, 6,416.79 and 2,525.37

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Solution

The fourth proportional to 4,649.94, 6,416.79 and 2,525.37 is: 3,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.94 : 6,416.79 = 2,525.37 : x
  2. Step 2: Convert to fraction form
    4,649.94/6,416.79 = 2,525.37/x
  3. Step 3: Cross multiply
    4,649.94x = 6,416.79 × 2,525.37
  4. Step 4: Simplify right side
    4,649.94x = 16,204,768.96
  5. Step 5: Solve for x
    x = 16,204,768.96/4,649.94
  6. Step 6: Final answer
    x = 3,484.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.