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Finding the Fourth Proportional to 4,062.80, 6,096.84 and 1,599.56

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Solution

The fourth proportional to 4,062.80, 6,096.84 and 1,599.56 is: 2,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.80 : 6,096.84 = 1,599.56 : x
  2. Step 2: Convert to fraction form
    4,062.80/6,096.84 = 1,599.56/x
  3. Step 3: Cross multiply
    4,062.80x = 6,096.84 × 1,599.56
  4. Step 4: Simplify right side
    4,062.80x = 9,752,261.39
  5. Step 5: Solve for x
    x = 9,752,261.39/4,062.80
  6. Step 6: Final answer
    x = 2,400.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.