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Finding the Fourth Proportional to 3,698.16, 5,064.60 and 3,649.56

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Solution

The fourth proportional to 3,698.16, 5,064.60 and 3,649.56 is: 4,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.16 : 5,064.60 = 3,649.56 : x
  2. Step 2: Convert to fraction form
    3,698.16/5,064.60 = 3,649.56/x
  3. Step 3: Cross multiply
    3,698.16x = 5,064.60 × 3,649.56
  4. Step 4: Simplify right side
    3,698.16x = 18,483,561.58
  5. Step 5: Solve for x
    x = 18,483,561.58/3,698.16
  6. Step 6: Final answer
    x = 4,998.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.