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Finding the Fourth Proportional to 5,265.77, 7,269.09 and 3,142.04

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Solution

The fourth proportional to 5,265.77, 7,269.09 and 3,142.04 is: 4,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.77 : 7,269.09 = 3,142.04 : x
  2. Step 2: Convert to fraction form
    5,265.77/7,269.09 = 3,142.04/x
  3. Step 3: Cross multiply
    5,265.77x = 7,269.09 × 3,142.04
  4. Step 4: Simplify right side
    5,265.77x = 22,839,771.54
  5. Step 5: Solve for x
    x = 22,839,771.54/5,265.77
  6. Step 6: Final answer
    x = 4,337.40

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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.