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Finding the Fourth Proportional to 3,960.04, 5,462.85 and 3,678.64

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Solution

The fourth proportional to 3,960.04, 5,462.85 and 3,678.64 is: 5,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.04 : 5,462.85 = 3,678.64 : x
  2. Step 2: Convert to fraction form
    3,960.04/5,462.85 = 3,678.64/x
  3. Step 3: Cross multiply
    3,960.04x = 5,462.85 × 3,678.64
  4. Step 4: Simplify right side
    3,960.04x = 20,095,858.52
  5. Step 5: Solve for x
    x = 20,095,858.52/3,960.04
  6. Step 6: Final answer
    x = 5,074.66

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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.