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Finding the Fourth Proportional to 5,182.72, 7,201.84 and 5,129.44

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Solution

The fourth proportional to 5,182.72, 7,201.84 and 5,129.44 is: 7,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.72 : 7,201.84 = 5,129.44 : x
  2. Step 2: Convert to fraction form
    5,182.72/7,201.84 = 5,129.44/x
  3. Step 3: Cross multiply
    5,182.72x = 7,201.84 × 5,129.44
  4. Step 4: Simplify right side
    5,182.72x = 36,941,406.17
  5. Step 5: Solve for x
    x = 36,941,406.17/5,182.72
  6. Step 6: Final answer
    x = 7,127.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.