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Finding the Fourth Proportional to 5,887.14, 8,826.42 and 2,765.53

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Solution

The fourth proportional to 5,887.14, 8,826.42 and 2,765.53 is: 4,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.14 : 8,826.42 = 2,765.53 : x
  2. Step 2: Convert to fraction form
    5,887.14/8,826.42 = 2,765.53/x
  3. Step 3: Cross multiply
    5,887.14x = 8,826.42 × 2,765.53
  4. Step 4: Simplify right side
    5,887.14x = 24,409,729.30
  5. Step 5: Solve for x
    x = 24,409,729.30/5,887.14
  6. Step 6: Final answer
    x = 4,146.28

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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.