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Finding the Fourth Proportional to 5,814.49, 8,721.94 and 2,305.16

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Solution

The fourth proportional to 5,814.49, 8,721.94 and 2,305.16 is: 3,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.49 : 8,721.94 = 2,305.16 : x
  2. Step 2: Convert to fraction form
    5,814.49/8,721.94 = 2,305.16/x
  3. Step 3: Cross multiply
    5,814.49x = 8,721.94 × 2,305.16
  4. Step 4: Simplify right side
    5,814.49x = 20,105,455.68
  5. Step 5: Solve for x
    x = 20,105,455.68/5,814.49
  6. Step 6: Final answer
    x = 3,457.82

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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.