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Finding the Fourth Proportional to 5,813.06, 8,719.27 and 3,410.11

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Solution

The fourth proportional to 5,813.06, 8,719.27 and 3,410.11 is: 5,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.06 : 8,719.27 = 3,410.11 : x
  2. Step 2: Convert to fraction form
    5,813.06/8,719.27 = 3,410.11/x
  3. Step 3: Cross multiply
    5,813.06x = 8,719.27 × 3,410.11
  4. Step 4: Simplify right side
    5,813.06x = 29,733,669.82
  5. Step 5: Solve for x
    x = 29,733,669.82/5,813.06
  6. Step 6: Final answer
    x = 5,114.98

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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.