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Finding the Fourth Proportional to 3,653.07, 5,480.57 and 1,313.32

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Solution

The fourth proportional to 3,653.07, 5,480.57 and 1,313.32 is: 1,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.07 : 5,480.57 = 1,313.32 : x
  2. Step 2: Convert to fraction form
    3,653.07/5,480.57 = 1,313.32/x
  3. Step 3: Cross multiply
    3,653.07x = 5,480.57 × 1,313.32
  4. Step 4: Simplify right side
    3,653.07x = 7,197,742.05
  5. Step 5: Solve for x
    x = 7,197,742.05/3,653.07
  6. Step 6: Final answer
    x = 1,970.33

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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.