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Finding the Fourth Proportional to 5,213.72, 7,828.38 and 4,513.10

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Solution

The fourth proportional to 5,213.72, 7,828.38 and 4,513.10 is: 6,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.72 : 7,828.38 = 4,513.10 : x
  2. Step 2: Convert to fraction form
    5,213.72/7,828.38 = 4,513.10/x
  3. Step 3: Cross multiply
    5,213.72x = 7,828.38 × 4,513.10
  4. Step 4: Simplify right side
    5,213.72x = 35,330,298.27
  5. Step 5: Solve for x
    x = 35,330,298.27/5,213.72
  6. Step 6: Final answer
    x = 6,776.41

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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.