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Finding the Fourth Proportional to 3,698.46, 5,051.97 and 3,674.16

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Solution

The fourth proportional to 3,698.46, 5,051.97 and 3,674.16 is: 5,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.46 : 5,051.97 = 3,674.16 : x
  2. Step 2: Convert to fraction form
    3,698.46/5,051.97 = 3,674.16/x
  3. Step 3: Cross multiply
    3,698.46x = 5,051.97 × 3,674.16
  4. Step 4: Simplify right side
    3,698.46x = 18,561,746.10
  5. Step 5: Solve for x
    x = 18,561,746.10/3,698.46
  6. Step 6: Final answer
    x = 5,018.78

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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.