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Finding the Fourth Proportional to 3,668.24, 5,052.84 and 3,426.32

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Solution

The fourth proportional to 3,668.24, 5,052.84 and 3,426.32 is: 4,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.24 : 5,052.84 = 3,426.32 : x
  2. Step 2: Convert to fraction form
    3,668.24/5,052.84 = 3,426.32/x
  3. Step 3: Cross multiply
    3,668.24x = 5,052.84 × 3,426.32
  4. Step 4: Simplify right side
    3,668.24x = 17,312,646.75
  5. Step 5: Solve for x
    x = 17,312,646.75/3,668.24
  6. Step 6: Final answer
    x = 4,719.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.