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Finding the Fourth Proportional to 5,204.40, 7,184.40 and 3,945.60

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Solution

The fourth proportional to 5,204.40, 7,184.40 and 3,945.60 is: 5,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.40 : 7,184.40 = 3,945.60 : x
  2. Step 2: Convert to fraction form
    5,204.40/7,184.40 = 3,945.60/x
  3. Step 3: Cross multiply
    5,204.40x = 7,184.40 × 3,945.60
  4. Step 4: Simplify right side
    5,204.40x = 28,346,768.64
  5. Step 5: Solve for x
    x = 28,346,768.64/5,204.40
  6. Step 6: Final answer
    x = 5,446.69

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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.