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Finding the Fourth Proportional to 3,605.11, 5,407.71 and 1,265.02

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Solution

The fourth proportional to 3,605.11, 5,407.71 and 1,265.02 is: 1,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.11 : 5,407.71 = 1,265.02 : x
  2. Step 2: Convert to fraction form
    3,605.11/5,407.71 = 1,265.02/x
  3. Step 3: Cross multiply
    3,605.11x = 5,407.71 × 1,265.02
  4. Step 4: Simplify right side
    3,605.11x = 6,840,861.30
  5. Step 5: Solve for x
    x = 6,840,861.30/3,605.11
  6. Step 6: Final answer
    x = 1,897.55

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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.