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Finding the Fourth Proportional to 3,403.68, 4,693.32 and 3,202.80

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Solution

The fourth proportional to 3,403.68, 4,693.32 and 3,202.80 is: 4,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.68 : 4,693.32 = 3,202.80 : x
  2. Step 2: Convert to fraction form
    3,403.68/4,693.32 = 3,202.80/x
  3. Step 3: Cross multiply
    3,403.68x = 4,693.32 × 3,202.80
  4. Step 4: Simplify right side
    3,403.68x = 15,031,765.30
  5. Step 5: Solve for x
    x = 15,031,765.30/3,403.68
  6. Step 6: Final answer
    x = 4,416.33

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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.