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Finding the Fourth Proportional to 3,580.80, 5,365.44 and 3,004.80

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Solution

The fourth proportional to 3,580.80, 5,365.44 and 3,004.80 is: 4,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.80 : 5,365.44 = 3,004.80 : x
  2. Step 2: Convert to fraction form
    3,580.80/5,365.44 = 3,004.80/x
  3. Step 3: Cross multiply
    3,580.80x = 5,365.44 × 3,004.80
  4. Step 4: Simplify right side
    3,580.80x = 16,122,074.11
  5. Step 5: Solve for x
    x = 16,122,074.11/3,580.80
  6. Step 6: Final answer
    x = 4,502.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.