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Finding the Fourth Proportional to 3,453.64, 5,147.14 and 3,448.15

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Solution

The fourth proportional to 3,453.64, 5,147.14 and 3,448.15 is: 5,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.64 : 5,147.14 = 3,448.15 : x
  2. Step 2: Convert to fraction form
    3,453.64/5,147.14 = 3,448.15/x
  3. Step 3: Cross multiply
    3,453.64x = 5,147.14 × 3,448.15
  4. Step 4: Simplify right side
    3,453.64x = 17,748,110.79
  5. Step 5: Solve for x
    x = 17,748,110.79/3,453.64
  6. Step 6: Final answer
    x = 5,138.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.