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Finding the Fourth Proportional to 5,156.25, 7,729.08 and 2,035

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Solution

The fourth proportional to 5,156.25, 7,729.08 and 2,035 is: 3,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.25 : 7,729.08 = 2,035 : x
  2. Step 2: Convert to fraction form
    5,156.25/7,729.08 = 2,035/x
  3. Step 3: Cross multiply
    5,156.25x = 7,729.08 × 2,035
  4. Step 4: Simplify right side
    5,156.25x = 15,728,677.80
  5. Step 5: Solve for x
    x = 15,728,677.80/5,156.25
  6. Step 6: Final answer
    x = 3,050.41

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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.