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Finding the Fourth Proportional to 3,496.13, 5,242.48 and 1,645.68

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Solution

The fourth proportional to 3,496.13, 5,242.48 and 1,645.68 is: 2,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.13 : 5,242.48 = 1,645.68 : x
  2. Step 2: Convert to fraction form
    3,496.13/5,242.48 = 1,645.68/x
  3. Step 3: Cross multiply
    3,496.13x = 5,242.48 × 1,645.68
  4. Step 4: Simplify right side
    3,496.13x = 8,627,440.37
  5. Step 5: Solve for x
    x = 8,627,440.37/3,496.13
  6. Step 6: Final answer
    x = 2,467.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.