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Finding the Fourth Proportional to 6,520.29, 9,780.44 and 1,589.96

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Solution

The fourth proportional to 6,520.29, 9,780.44 and 1,589.96 is: 2,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.29 : 9,780.44 = 1,589.96 : x
  2. Step 2: Convert to fraction form
    6,520.29/9,780.44 = 1,589.96/x
  3. Step 3: Cross multiply
    6,520.29x = 9,780.44 × 1,589.96
  4. Step 4: Simplify right side
    6,520.29x = 15,550,451.53
  5. Step 5: Solve for x
    x = 15,550,451.53/6,520.29
  6. Step 6: Final answer
    x = 2,384.93

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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.