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Finding the Fourth Proportional to 3,602.12, 5,402.57 and 1,262.03

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Solution

The fourth proportional to 3,602.12, 5,402.57 and 1,262.03 is: 1,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.12 : 5,402.57 = 1,262.03 : x
  2. Step 2: Convert to fraction form
    3,602.12/5,402.57 = 1,262.03/x
  3. Step 3: Cross multiply
    3,602.12x = 5,402.57 × 1,262.03
  4. Step 4: Simplify right side
    3,602.12x = 6,818,172.09
  5. Step 5: Solve for x
    x = 6,818,172.09/3,602.12
  6. Step 6: Final answer
    x = 1,892.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.