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Finding the Fourth Proportional to 5,802.23, 8,007.09 and 3,149.63

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Solution

The fourth proportional to 5,802.23, 8,007.09 and 3,149.63 is: 4,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.23 : 8,007.09 = 3,149.63 : x
  2. Step 2: Convert to fraction form
    5,802.23/8,007.09 = 3,149.63/x
  3. Step 3: Cross multiply
    5,802.23x = 8,007.09 × 3,149.63
  4. Step 4: Simplify right side
    5,802.23x = 25,219,394.10
  5. Step 5: Solve for x
    x = 25,219,394.10/5,802.23
  6. Step 6: Final answer
    x = 4,346.50

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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.