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Finding the Fourth Proportional to 5,802.28, 8,007.10 and 3,149.69

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Solution

The fourth proportional to 5,802.28, 8,007.10 and 3,149.69 is: 4,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.28 : 8,007.10 = 3,149.69 : x
  2. Step 2: Convert to fraction form
    5,802.28/8,007.10 = 3,149.69/x
  3. Step 3: Cross multiply
    5,802.28x = 8,007.10 × 3,149.69
  4. Step 4: Simplify right side
    5,802.28x = 25,219,852.61
  5. Step 5: Solve for x
    x = 25,219,852.61/5,802.28
  6. Step 6: Final answer
    x = 4,346.54

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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.