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Finding the Fourth Proportional to 4,532.36, 6,802.58 and 3,796.47

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Solution

The fourth proportional to 4,532.36, 6,802.58 and 3,796.47 is: 5,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.36 : 6,802.58 = 3,796.47 : x
  2. Step 2: Convert to fraction form
    4,532.36/6,802.58 = 3,796.47/x
  3. Step 3: Cross multiply
    4,532.36x = 6,802.58 × 3,796.47
  4. Step 4: Simplify right side
    4,532.36x = 25,825,800.38
  5. Step 5: Solve for x
    x = 25,825,800.38/4,532.36
  6. Step 6: Final answer
    x = 5,698.10

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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.