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Finding the Fourth Proportional to 3,653.66, 5,479.43 and 1,313.27

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Solution

The fourth proportional to 3,653.66, 5,479.43 and 1,313.27 is: 1,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.66 : 5,479.43 = 1,313.27 : x
  2. Step 2: Convert to fraction form
    3,653.66/5,479.43 = 1,313.27/x
  3. Step 3: Cross multiply
    3,653.66x = 5,479.43 × 1,313.27
  4. Step 4: Simplify right side
    3,653.66x = 7,195,962.55
  5. Step 5: Solve for x
    x = 7,195,962.55/3,653.66
  6. Step 6: Final answer
    x = 1,969.52

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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.