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Finding the Fourth Proportional to 4,534.62, 6,257.31 and 3,042.24

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Solution

The fourth proportional to 4,534.62, 6,257.31 and 3,042.24 is: 4,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.62 : 6,257.31 = 3,042.24 : x
  2. Step 2: Convert to fraction form
    4,534.62/6,257.31 = 3,042.24/x
  3. Step 3: Cross multiply
    4,534.62x = 6,257.31 × 3,042.24
  4. Step 4: Simplify right side
    4,534.62x = 19,036,238.77
  5. Step 5: Solve for x
    x = 19,036,238.77/4,534.62
  6. Step 6: Final answer
    x = 4,197.98

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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.