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Finding the Fourth Proportional to 5,809.29, 8,710.85 and 2,299.16

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Solution

The fourth proportional to 5,809.29, 8,710.85 and 2,299.16 is: 3,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.29 : 8,710.85 = 2,299.16 : x
  2. Step 2: Convert to fraction form
    5,809.29/8,710.85 = 2,299.16/x
  3. Step 3: Cross multiply
    5,809.29x = 8,710.85 × 2,299.16
  4. Step 4: Simplify right side
    5,809.29x = 20,027,582.84
  5. Step 5: Solve for x
    x = 20,027,582.84/5,809.29
  6. Step 6: Final answer
    x = 3,447.51

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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.