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Finding the Fourth Proportional to 5,223.76, 7,207.56 and 3,824.08

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Solution

The fourth proportional to 5,223.76, 7,207.56 and 3,824.08 is: 5,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.76 : 7,207.56 = 3,824.08 : x
  2. Step 2: Convert to fraction form
    5,223.76/7,207.56 = 3,824.08/x
  3. Step 3: Cross multiply
    5,223.76x = 7,207.56 × 3,824.08
  4. Step 4: Simplify right side
    5,223.76x = 27,562,286.04
  5. Step 5: Solve for x
    x = 27,562,286.04/5,223.76
  6. Step 6: Final answer
    x = 5,276.33

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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.