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Finding the Fourth Proportional to 3,602.12, 4,959.62 and 3,274.04

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Solution

The fourth proportional to 3,602.12, 4,959.62 and 3,274.04 is: 4,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.12 : 4,959.62 = 3,274.04 : x
  2. Step 2: Convert to fraction form
    3,602.12/4,959.62 = 3,274.04/x
  3. Step 3: Cross multiply
    3,602.12x = 4,959.62 × 3,274.04
  4. Step 4: Simplify right side
    3,602.12x = 16,237,994.26
  5. Step 5: Solve for x
    x = 16,237,994.26/3,602.12
  6. Step 6: Final answer
    x = 4,507.90

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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.