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Finding the Fourth Proportional to 5,288.56, 7,933.23 and 1,778.57

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Solution

The fourth proportional to 5,288.56, 7,933.23 and 1,778.57 is: 2,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.56 : 7,933.23 = 1,778.57 : x
  2. Step 2: Convert to fraction form
    5,288.56/7,933.23 = 1,778.57/x
  3. Step 3: Cross multiply
    5,288.56x = 7,933.23 × 1,778.57
  4. Step 4: Simplify right side
    5,288.56x = 14,109,828.05
  5. Step 5: Solve for x
    x = 14,109,828.05/5,288.56
  6. Step 6: Final answer
    x = 2,667.99

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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.