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Finding the Fourth Proportional to 3,734.66, 5,152.80 and 2,317.67

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Solution

The fourth proportional to 3,734.66, 5,152.80 and 2,317.67 is: 3,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.66 : 5,152.80 = 2,317.67 : x
  2. Step 2: Convert to fraction form
    3,734.66/5,152.80 = 2,317.67/x
  3. Step 3: Cross multiply
    3,734.66x = 5,152.80 × 2,317.67
  4. Step 4: Simplify right side
    3,734.66x = 11,942,464.21
  5. Step 5: Solve for x
    x = 11,942,464.21/3,734.66
  6. Step 6: Final answer
    x = 3,197.74

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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.