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Finding the Fourth Proportional to 5,828.49, 8,723.34 and 5,309.69

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Solution

The fourth proportional to 5,828.49, 8,723.34 and 5,309.69 is: 7,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.49 : 8,723.34 = 5,309.69 : x
  2. Step 2: Convert to fraction form
    5,828.49/8,723.34 = 5,309.69/x
  3. Step 3: Cross multiply
    5,828.49x = 8,723.34 × 5,309.69
  4. Step 4: Simplify right side
    5,828.49x = 46,318,231.16
  5. Step 5: Solve for x
    x = 46,318,231.16/5,828.49
  6. Step 6: Final answer
    x = 7,946.87

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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.