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Finding the Fourth Proportional to 3,653.04, 5,479.68 and 1,313.22

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Solution

The fourth proportional to 3,653.04, 5,479.68 and 1,313.22 is: 1,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.04 : 5,479.68 = 1,313.22 : x
  2. Step 2: Convert to fraction form
    3,653.04/5,479.68 = 1,313.22/x
  3. Step 3: Cross multiply
    3,653.04x = 5,479.68 × 1,313.22
  4. Step 4: Simplify right side
    3,653.04x = 7,196,025.37
  5. Step 5: Solve for x
    x = 7,196,025.37/3,653.04
  6. Step 6: Final answer
    x = 1,969.87

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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.