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Finding the Fourth Proportional to 4,605.60, 6,353.82 and 3,209.16

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Solution

The fourth proportional to 4,605.60, 6,353.82 and 3,209.16 is: 4,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.60 : 6,353.82 = 3,209.16 : x
  2. Step 2: Convert to fraction form
    4,605.60/6,353.82 = 3,209.16/x
  3. Step 3: Cross multiply
    4,605.60x = 6,353.82 × 3,209.16
  4. Step 4: Simplify right side
    4,605.60x = 20,390,424.99
  5. Step 5: Solve for x
    x = 20,390,424.99/4,605.60
  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.