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Finding the Fourth Proportional to 3,653.62, 5,479.89 and 1,313.26

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Solution

The fourth proportional to 3,653.62, 5,479.89 and 1,313.26 is: 1,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.62 : 5,479.89 = 1,313.26 : x
  2. Step 2: Convert to fraction form
    3,653.62/5,479.89 = 1,313.26/x
  3. Step 3: Cross multiply
    3,653.62x = 5,479.89 × 1,313.26
  4. Step 4: Simplify right side
    3,653.62x = 7,196,520.34
  5. Step 5: Solve for x
    x = 7,196,520.34/3,653.62
  6. Step 6: Final answer
    x = 1,969.70

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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.