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Finding the Fourth Proportional to 3,645.70, 5,023.14 and 3,046.12

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Solution

The fourth proportional to 3,645.70, 5,023.14 and 3,046.12 is: 4,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.70 : 5,023.14 = 3,046.12 : x
  2. Step 2: Convert to fraction form
    3,645.70/5,023.14 = 3,046.12/x
  3. Step 3: Cross multiply
    3,645.70x = 5,023.14 × 3,046.12
  4. Step 4: Simplify right side
    3,645.70x = 15,301,087.22
  5. Step 5: Solve for x
    x = 15,301,087.22/3,645.70
  6. Step 6: Final answer
    x = 4,197.02

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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.