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Finding the Fourth Proportional to 5,410.57, 7,466.61 and 3,052.71

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Solution

The fourth proportional to 5,410.57, 7,466.61 and 3,052.71 is: 4,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.57 : 7,466.61 = 3,052.71 : x
  2. Step 2: Convert to fraction form
    5,410.57/7,466.61 = 3,052.71/x
  3. Step 3: Cross multiply
    5,410.57x = 7,466.61 × 3,052.71
  4. Step 4: Simplify right side
    5,410.57x = 22,793,395.01
  5. Step 5: Solve for x
    x = 22,793,395.01/5,410.57
  6. Step 6: Final answer
    x = 4,212.75

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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.