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Finding the Fourth Proportional to 5,213.64, 7,813.90 and 3,725.11

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Solution

The fourth proportional to 5,213.64, 7,813.90 and 3,725.11 is: 5,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.64 : 7,813.90 = 3,725.11 : x
  2. Step 2: Convert to fraction form
    5,213.64/7,813.90 = 3,725.11/x
  3. Step 3: Cross multiply
    5,213.64x = 7,813.90 × 3,725.11
  4. Step 4: Simplify right side
    5,213.64x = 29,107,637.03
  5. Step 5: Solve for x
    x = 29,107,637.03/5,213.64
  6. Step 6: Final answer
    x = 5,582.98

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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.