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Finding the Fourth Proportional to 5,224.86, 7,835.13 and 3,581.91

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Solution

The fourth proportional to 5,224.86, 7,835.13 and 3,581.91 is: 5,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.86 : 7,835.13 = 3,581.91 : x
  2. Step 2: Convert to fraction form
    5,224.86/7,835.13 = 3,581.91/x
  3. Step 3: Cross multiply
    5,224.86x = 7,835.13 × 3,581.91
  4. Step 4: Simplify right side
    5,224.86x = 28,064,730.50
  5. Step 5: Solve for x
    x = 28,064,730.50/5,224.86
  6. Step 6: Final answer
    x = 5,371.38

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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.