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Finding the Fourth Proportional to 5,216.13, 7,823.99 and 2,095.20

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Solution

The fourth proportional to 5,216.13, 7,823.99 and 2,095.20 is: 3,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.13 : 7,823.99 = 2,095.20 : x
  2. Step 2: Convert to fraction form
    5,216.13/7,823.99 = 2,095.20/x
  3. Step 3: Cross multiply
    5,216.13x = 7,823.99 × 2,095.20
  4. Step 4: Simplify right side
    5,216.13x = 16,392,829.09
  5. Step 5: Solve for x
    x = 16,392,829.09/5,216.13
  6. Step 6: Final answer
    x = 3,142.72

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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.