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Finding the Fourth Proportional to 4,782.74, 6,601.37 and 3,720.24

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Solution

The fourth proportional to 4,782.74, 6,601.37 and 3,720.24 is: 5,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.74 : 6,601.37 = 3,720.24 : x
  2. Step 2: Convert to fraction form
    4,782.74/6,601.37 = 3,720.24/x
  3. Step 3: Cross multiply
    4,782.74x = 6,601.37 × 3,720.24
  4. Step 4: Simplify right side
    4,782.74x = 24,558,662.13
  5. Step 5: Solve for x
    x = 24,558,662.13/4,782.74
  6. Step 6: Final answer
    x = 5,134.86

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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.