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Finding the Fourth Proportional to 3,760.96, 5,176.50 and 3,465.70

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Solution

The fourth proportional to 3,760.96, 5,176.50 and 3,465.70 is: 4,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.96 : 5,176.50 = 3,465.70 : x
  2. Step 2: Convert to fraction form
    3,760.96/5,176.50 = 3,465.70/x
  3. Step 3: Cross multiply
    3,760.96x = 5,176.50 × 3,465.70
  4. Step 4: Simplify right side
    3,760.96x = 17,940,196.05
  5. Step 5: Solve for x
    x = 17,940,196.05/3,760.96
  6. Step 6: Final answer
    x = 4,770.11

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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.