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Finding the Fourth Proportional to 4,605.59, 6,353.82 and 3,209.15

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Solution

The fourth proportional to 4,605.59, 6,353.82 and 3,209.15 is: 4,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.59 : 6,353.82 = 3,209.15 : x
  2. Step 2: Convert to fraction form
    4,605.59/6,353.82 = 3,209.15/x
  3. Step 3: Cross multiply
    4,605.59x = 6,353.82 × 3,209.15
  4. Step 4: Simplify right side
    4,605.59x = 20,390,361.45
  5. Step 5: Solve for x
    x = 20,390,361.45/4,605.59
  6. Step 6: Final answer
    x = 4,427.31

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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.