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Finding the Fourth Proportional to 3,365.42, 4,638.33 and 3,209.56

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Solution

The fourth proportional to 3,365.42, 4,638.33 and 3,209.56 is: 4,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.42 : 4,638.33 = 3,209.56 : x
  2. Step 2: Convert to fraction form
    3,365.42/4,638.33 = 3,209.56/x
  3. Step 3: Cross multiply
    3,365.42x = 4,638.33 × 3,209.56
  4. Step 4: Simplify right side
    3,365.42x = 14,886,986.84
  5. Step 5: Solve for x
    x = 14,886,986.84/3,365.42
  6. Step 6: Final answer
    x = 4,423.52

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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.