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Finding the Fourth Proportional to 5,177.96, 7,148.01 and 3,052.82

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Solution

The fourth proportional to 5,177.96, 7,148.01 and 3,052.82 is: 4,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.96 : 7,148.01 = 3,052.82 : x
  2. Step 2: Convert to fraction form
    5,177.96/7,148.01 = 3,052.82/x
  3. Step 3: Cross multiply
    5,177.96x = 7,148.01 × 3,052.82
  4. Step 4: Simplify right side
    5,177.96x = 21,821,617.21
  5. Step 5: Solve for x
    x = 21,821,617.21/5,177.96
  6. Step 6: Final answer
    x = 4,214.33

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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.