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Finding the Fourth Proportional to 5,102.87, 7,656.21 and 3,474.77

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Solution

The fourth proportional to 5,102.87, 7,656.21 and 3,474.77 is: 5,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.87 : 7,656.21 = 3,474.77 : x
  2. Step 2: Convert to fraction form
    5,102.87/7,656.21 = 3,474.77/x
  3. Step 3: Cross multiply
    5,102.87x = 7,656.21 × 3,474.77
  4. Step 4: Simplify right side
    5,102.87x = 26,603,530.54
  5. Step 5: Solve for x
    x = 26,603,530.54/5,102.87
  6. Step 6: Final answer
    x = 5,213.45

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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.