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Finding the Fourth Proportional to 3,602.82, 4,970.39 and 2,424.27

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Solution

The fourth proportional to 3,602.82, 4,970.39 and 2,424.27 is: 3,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.82 : 4,970.39 = 2,424.27 : x
  2. Step 2: Convert to fraction form
    3,602.82/4,970.39 = 2,424.27/x
  3. Step 3: Cross multiply
    3,602.82x = 4,970.39 × 2,424.27
  4. Step 4: Simplify right side
    3,602.82x = 12,049,555.24
  5. Step 5: Solve for x
    x = 12,049,555.24/3,602.82
  6. Step 6: Final answer
    x = 3,344.48

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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.