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Finding the Fourth Proportional to 5,765.76, 8,647.74 and 1,606.14

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Solution

The fourth proportional to 5,765.76, 8,647.74 and 1,606.14 is: 2,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.76 : 8,647.74 = 1,606.14 : x
  2. Step 2: Convert to fraction form
    5,765.76/8,647.74 = 1,606.14/x
  3. Step 3: Cross multiply
    5,765.76x = 8,647.74 × 1,606.14
  4. Step 4: Simplify right side
    5,765.76x = 13,889,481.12
  5. Step 5: Solve for x
    x = 13,889,481.12/5,765.76
  6. Step 6: Final answer
    x = 2,408.96

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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.