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Finding the Fourth Proportional to 3,654.45, 5,478.40 and 1,313.91

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Solution

The fourth proportional to 3,654.45, 5,478.40 and 1,313.91 is: 1,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.45 : 5,478.40 = 1,313.91 : x
  2. Step 2: Convert to fraction form
    3,654.45/5,478.40 = 1,313.91/x
  3. Step 3: Cross multiply
    3,654.45x = 5,478.40 × 1,313.91
  4. Step 4: Simplify right side
    3,654.45x = 7,198,124.54
  5. Step 5: Solve for x
    x = 7,198,124.54/3,654.45
  6. Step 6: Final answer
    x = 1,969.69

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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.