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Finding the Fourth Proportional to 5,126.37, 7,661.46 and 3,742.62

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Solution

The fourth proportional to 5,126.37, 7,661.46 and 3,742.62 is: 5,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.37 : 7,661.46 = 3,742.62 : x
  2. Step 2: Convert to fraction form
    5,126.37/7,661.46 = 3,742.62/x
  3. Step 3: Cross multiply
    5,126.37x = 7,661.46 × 3,742.62
  4. Step 4: Simplify right side
    5,126.37x = 28,673,876.40
  5. Step 5: Solve for x
    x = 28,673,876.40/5,126.37
  6. Step 6: Final answer
    x = 5,593.41

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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.