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Finding the Fourth Proportional to 4,728.53, 6,525.38 and 2,739.47

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Solution

The fourth proportional to 4,728.53, 6,525.38 and 2,739.47 is: 3,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.53 : 6,525.38 = 2,739.47 : x
  2. Step 2: Convert to fraction form
    4,728.53/6,525.38 = 2,739.47/x
  3. Step 3: Cross multiply
    4,728.53x = 6,525.38 × 2,739.47
  4. Step 4: Simplify right side
    4,728.53x = 17,876,096.02
  5. Step 5: Solve for x
    x = 17,876,096.02/4,728.53
  6. Step 6: Final answer
    x = 3,780.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.