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Finding the Fourth Proportional to 5,214.24, 7,814.80 and 3,725.72

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Solution

The fourth proportional to 5,214.24, 7,814.80 and 3,725.72 is: 5,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.24 : 7,814.80 = 3,725.72 : x
  2. Step 2: Convert to fraction form
    5,214.24/7,814.80 = 3,725.72/x
  3. Step 3: Cross multiply
    5,214.24x = 7,814.80 × 3,725.72
  4. Step 4: Simplify right side
    5,214.24x = 29,115,717.58
  5. Step 5: Solve for x
    x = 29,115,717.58/5,214.24
  6. Step 6: Final answer
    x = 5,583.89

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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.