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Finding the Fourth Proportional to 5,802.24, 8,007.02 and 3,149.60

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Solution

The fourth proportional to 5,802.24, 8,007.02 and 3,149.60 is: 4,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.24 : 8,007.02 = 3,149.60 : x
  2. Step 2: Convert to fraction form
    5,802.24/8,007.02 = 3,149.60/x
  3. Step 3: Cross multiply
    5,802.24x = 8,007.02 × 3,149.60
  4. Step 4: Simplify right side
    5,802.24x = 25,218,910.19
  5. Step 5: Solve for x
    x = 25,218,910.19/5,802.24
  6. Step 6: Final answer
    x = 4,346.41

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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.