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Finding the Fourth Proportional to 5,138.08, 7,710 and 2,060.32

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Solution

The fourth proportional to 5,138.08, 7,710 and 2,060.32 is: 3,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.08 : 7,710 = 2,060.32 : x
  2. Step 2: Convert to fraction form
    5,138.08/7,710 = 2,060.32/x
  3. Step 3: Cross multiply
    5,138.08x = 7,710 × 2,060.32
  4. Step 4: Simplify right side
    5,138.08x = 15,885,067.20
  5. Step 5: Solve for x
    x = 15,885,067.20/5,138.08
  6. Step 6: Final answer
    x = 3,091.63

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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.