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Finding the Fourth Proportional to 3,958.74, 5,448.96 and 3,460.14

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Solution

The fourth proportional to 3,958.74, 5,448.96 and 3,460.14 is: 4,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.74 : 5,448.96 = 3,460.14 : x
  2. Step 2: Convert to fraction form
    3,958.74/5,448.96 = 3,460.14/x
  3. Step 3: Cross multiply
    3,958.74x = 5,448.96 × 3,460.14
  4. Step 4: Simplify right side
    3,958.74x = 18,854,164.45
  5. Step 5: Solve for x
    x = 18,854,164.45/3,958.74
  6. Step 6: Final answer
    x = 4,762.67

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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.