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Finding the Fourth Proportional to 3,649.41, 5,464.67 and 2,658.15

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Solution

The fourth proportional to 3,649.41, 5,464.67 and 2,658.15 is: 3,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.41 : 5,464.67 = 2,658.15 : x
  2. Step 2: Convert to fraction form
    3,649.41/5,464.67 = 2,658.15/x
  3. Step 3: Cross multiply
    3,649.41x = 5,464.67 × 2,658.15
  4. Step 4: Simplify right side
    3,649.41x = 14,525,899.27
  5. Step 5: Solve for x
    x = 14,525,899.27/3,649.41
  6. Step 6: Final answer
    x = 3,980.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.