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Finding the Fourth Proportional to 5,137.38, 7,700.06 and 2,175.20

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Solution

The fourth proportional to 5,137.38, 7,700.06 and 2,175.20 is: 3,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.38 : 7,700.06 = 2,175.20 : x
  2. Step 2: Convert to fraction form
    5,137.38/7,700.06 = 2,175.20/x
  3. Step 3: Cross multiply
    5,137.38x = 7,700.06 × 2,175.20
  4. Step 4: Simplify right side
    5,137.38x = 16,749,170.51
  5. Step 5: Solve for x
    x = 16,749,170.51/5,137.38
  6. Step 6: Final answer
    x = 3,260.26

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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.