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Finding the Fourth Proportional to 3,505.60, 5,255.04 and 1,313.44

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Solution

The fourth proportional to 3,505.60, 5,255.04 and 1,313.44 is: 1,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.60 : 5,255.04 = 1,313.44 : x
  2. Step 2: Convert to fraction form
    3,505.60/5,255.04 = 1,313.44/x
  3. Step 3: Cross multiply
    3,505.60x = 5,255.04 × 1,313.44
  4. Step 4: Simplify right side
    3,505.60x = 6,902,179.74
  5. Step 5: Solve for x
    x = 6,902,179.74/3,505.60
  6. Step 6: Final answer
    x = 1,968.90

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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.