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Finding the Fourth Proportional to 4,737.48, 6,540.41 and 3,146.23

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Solution

The fourth proportional to 4,737.48, 6,540.41 and 3,146.23 is: 4,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.48 : 6,540.41 = 3,146.23 : x
  2. Step 2: Convert to fraction form
    4,737.48/6,540.41 = 3,146.23/x
  3. Step 3: Cross multiply
    4,737.48x = 6,540.41 × 3,146.23
  4. Step 4: Simplify right side
    4,737.48x = 20,577,634.15
  5. Step 5: Solve for x
    x = 20,577,634.15/4,737.48
  6. Step 6: Final answer
    x = 4,343.58

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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.