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Finding the Fourth Proportional to 5,828.09, 8,044.31 and 3,470.99

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Solution

The fourth proportional to 5,828.09, 8,044.31 and 3,470.99 is: 4,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.09 : 8,044.31 = 3,470.99 : x
  2. Step 2: Convert to fraction form
    5,828.09/8,044.31 = 3,470.99/x
  3. Step 3: Cross multiply
    5,828.09x = 8,044.31 × 3,470.99
  4. Step 4: Simplify right side
    5,828.09x = 27,921,688.02
  5. Step 5: Solve for x
    x = 27,921,688.02/5,828.09
  6. Step 6: Final answer
    x = 4,790.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.