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Finding the Fourth Proportional to 4,097.90, 5,645.23 and 3,258.34

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Solution

The fourth proportional to 4,097.90, 5,645.23 and 3,258.34 is: 4,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.90 : 5,645.23 = 3,258.34 : x
  2. Step 2: Convert to fraction form
    4,097.90/5,645.23 = 3,258.34/x
  3. Step 3: Cross multiply
    4,097.90x = 5,645.23 × 3,258.34
  4. Step 4: Simplify right side
    4,097.90x = 18,394,056.46
  5. Step 5: Solve for x
    x = 18,394,056.46/4,097.90
  6. Step 6: Final answer
    x = 4,488.65

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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.