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Finding the Fourth Proportional to 5,814.56, 8,720.90 and 1,596.83

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Solution

The fourth proportional to 5,814.56, 8,720.90 and 1,596.83 is: 2,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.56 : 8,720.90 = 1,596.83 : x
  2. Step 2: Convert to fraction form
    5,814.56/8,720.90 = 1,596.83/x
  3. Step 3: Cross multiply
    5,814.56x = 8,720.90 × 1,596.83
  4. Step 4: Simplify right side
    5,814.56x = 13,925,820.54
  5. Step 5: Solve for x
    x = 13,925,820.54/5,814.56
  6. Step 6: Final answer
    x = 2,394.99

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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.