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Finding the Fourth Proportional to 4,776.24, 7,156.67 and 2,586

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Solution

The fourth proportional to 4,776.24, 7,156.67 and 2,586 is: 3,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.24 : 7,156.67 = 2,586 : x
  2. Step 2: Convert to fraction form
    4,776.24/7,156.67 = 2,586/x
  3. Step 3: Cross multiply
    4,776.24x = 7,156.67 × 2,586
  4. Step 4: Simplify right side
    4,776.24x = 18,507,135.69
  5. Step 5: Solve for x
    x = 18,507,135.69/4,776.24
  6. Step 6: Final answer
    x = 3,874.83

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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.