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Finding the Fourth Proportional to 4,042.42, 6,062.24 and 1,577.94

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Solution

The fourth proportional to 4,042.42, 6,062.24 and 1,577.94 is: 2,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.42 : 6,062.24 = 1,577.94 : x
  2. Step 2: Convert to fraction form
    4,042.42/6,062.24 = 1,577.94/x
  3. Step 3: Cross multiply
    4,042.42x = 6,062.24 × 1,577.94
  4. Step 4: Simplify right side
    4,042.42x = 9,565,850.99
  5. Step 5: Solve for x
    x = 9,565,850.99/4,042.42
  6. Step 6: Final answer
    x = 2,366.37

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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.