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Finding the Fourth Proportional to 4,649.68, 6,416.51 and 2,525.23

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Solution

The fourth proportional to 4,649.68, 6,416.51 and 2,525.23 is: 3,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.68 : 6,416.51 = 2,525.23 : x
  2. Step 2: Convert to fraction form
    4,649.68/6,416.51 = 2,525.23/x
  3. Step 3: Cross multiply
    4,649.68x = 6,416.51 × 2,525.23
  4. Step 4: Simplify right side
    4,649.68x = 16,203,163.55
  5. Step 5: Solve for x
    x = 16,203,163.55/4,649.68
  6. Step 6: Final answer
    x = 3,484.79

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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.