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Finding the Fourth Proportional to 4,663.78, 6,436.12 and 2,539.42

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Solution

The fourth proportional to 4,663.78, 6,436.12 and 2,539.42 is: 3,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.78 : 6,436.12 = 2,539.42 : x
  2. Step 2: Convert to fraction form
    4,663.78/6,436.12 = 2,539.42/x
  3. Step 3: Cross multiply
    4,663.78x = 6,436.12 × 2,539.42
  4. Step 4: Simplify right side
    4,663.78x = 16,344,011.85
  5. Step 5: Solve for x
    x = 16,344,011.85/4,663.78
  6. Step 6: Final answer
    x = 3,504.46

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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.