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Finding the Fourth Proportional to 4,649.67, 6,416.60 and 2,525.22

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Solution

The fourth proportional to 4,649.67, 6,416.60 and 2,525.22 is: 3,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.67 : 6,416.60 = 2,525.22 : x
  2. Step 2: Convert to fraction form
    4,649.67/6,416.60 = 2,525.22/x
  3. Step 3: Cross multiply
    4,649.67x = 6,416.60 × 2,525.22
  4. Step 4: Simplify right side
    4,649.67x = 16,203,326.65
  5. Step 5: Solve for x
    x = 16,203,326.65/4,649.67
  6. Step 6: Final answer
    x = 3,484.83

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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.