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Finding the Fourth Proportional to 3,602.24, 4,970.40 and 2,204

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Solution

The fourth proportional to 3,602.24, 4,970.40 and 2,204 is: 3,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.24 : 4,970.40 = 2,204 : x
  2. Step 2: Convert to fraction form
    3,602.24/4,970.40 = 2,204/x
  3. Step 3: Cross multiply
    3,602.24x = 4,970.40 × 2,204
  4. Step 4: Simplify right side
    3,602.24x = 10,954,761.60
  5. Step 5: Solve for x
    x = 10,954,761.60/3,602.24
  6. Step 6: Final answer
    x = 3,041.10

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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.