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Finding the Fourth Proportional to 3,601.82, 4,968.42 and 2,424.50

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Solution

The fourth proportional to 3,601.82, 4,968.42 and 2,424.50 is: 3,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.82 : 4,968.42 = 2,424.50 : x
  2. Step 2: Convert to fraction form
    3,601.82/4,968.42 = 2,424.50/x
  3. Step 3: Cross multiply
    3,601.82x = 4,968.42 × 2,424.50
  4. Step 4: Simplify right side
    3,601.82x = 12,045,934.29
  5. Step 5: Solve for x
    x = 12,045,934.29/3,601.82
  6. Step 6: Final answer
    x = 3,344.40

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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.