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Finding the Fourth Proportional to 5,187.72, 7,743.94 and 4,802.28

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Solution

The fourth proportional to 5,187.72, 7,743.94 and 4,802.28 is: 7,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.72 : 7,743.94 = 4,802.28 : x
  2. Step 2: Convert to fraction form
    5,187.72/7,743.94 = 4,802.28/x
  3. Step 3: Cross multiply
    5,187.72x = 7,743.94 × 4,802.28
  4. Step 4: Simplify right side
    5,187.72x = 37,188,568.18
  5. Step 5: Solve for x
    x = 37,188,568.18/5,187.72
  6. Step 6: Final answer
    x = 7,168.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.