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Finding the Fourth Proportional to 5,035.64, 6,949.50 and 2,797.50

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Solution

The fourth proportional to 5,035.64, 6,949.50 and 2,797.50 is: 3,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,035.64 : 6,949.50 = 2,797.50 : x
  2. Step 2: Convert to fraction form
    5,035.64/6,949.50 = 2,797.50/x
  3. Step 3: Cross multiply
    5,035.64x = 6,949.50 × 2,797.50
  4. Step 4: Simplify right side
    5,035.64x = 19,441,226.25
  5. Step 5: Solve for x
    x = 19,441,226.25/5,035.64
  6. Step 6: Final answer
    x = 3,860.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.