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Finding the Fourth Proportional to 4,206.96, 5,796.54 and 3,609.36

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Solution

The fourth proportional to 4,206.96, 5,796.54 and 3,609.36 is: 4,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.96 : 5,796.54 = 3,609.36 : x
  2. Step 2: Convert to fraction form
    4,206.96/5,796.54 = 3,609.36/x
  3. Step 3: Cross multiply
    4,206.96x = 5,796.54 × 3,609.36
  4. Step 4: Simplify right side
    4,206.96x = 20,921,799.61
  5. Step 5: Solve for x
    x = 20,921,799.61/4,206.96
  6. Step 6: Final answer
    x = 4,973.14

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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.