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Finding the Fourth Proportional to 4,117.08, 5,684.22 and 3,674.22

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Solution

The fourth proportional to 4,117.08, 5,684.22 and 3,674.22 is: 5,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.08 : 5,684.22 = 3,674.22 : x
  2. Step 2: Convert to fraction form
    4,117.08/5,684.22 = 3,674.22/x
  3. Step 3: Cross multiply
    4,117.08x = 5,684.22 × 3,674.22
  4. Step 4: Simplify right side
    4,117.08x = 20,885,074.81
  5. Step 5: Solve for x
    x = 20,885,074.81/4,117.08
  6. Step 6: Final answer
    x = 5,072.79

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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.