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Finding the Fourth Proportional to 5,361.76, 8,035.44 and 1,895.68

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Solution

The fourth proportional to 5,361.76, 8,035.44 and 1,895.68 is: 2,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.76 : 8,035.44 = 1,895.68 : x
  2. Step 2: Convert to fraction form
    5,361.76/8,035.44 = 1,895.68/x
  3. Step 3: Cross multiply
    5,361.76x = 8,035.44 × 1,895.68
  4. Step 4: Simplify right side
    5,361.76x = 15,232,622.90
  5. Step 5: Solve for x
    x = 15,232,622.90/5,361.76
  6. Step 6: Final answer
    x = 2,840.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.