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Finding the Fourth Proportional to 3,605.28, 5,408.18 and 1,265.02

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Solution

The fourth proportional to 3,605.28, 5,408.18 and 1,265.02 is: 1,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.28 : 5,408.18 = 1,265.02 : x
  2. Step 2: Convert to fraction form
    3,605.28/5,408.18 = 1,265.02/x
  3. Step 3: Cross multiply
    3,605.28x = 5,408.18 × 1,265.02
  4. Step 4: Simplify right side
    3,605.28x = 6,841,455.86
  5. Step 5: Solve for x
    x = 6,841,455.86/3,605.28
  6. Step 6: Final answer
    x = 1,897.62

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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.