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Finding the Fourth Proportional to 5,585.96, 8,379.74 and 1,689.96

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Solution

The fourth proportional to 5,585.96, 8,379.74 and 1,689.96 is: 2,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.96 : 8,379.74 = 1,689.96 : x
  2. Step 2: Convert to fraction form
    5,585.96/8,379.74 = 1,689.96/x
  3. Step 3: Cross multiply
    5,585.96x = 8,379.74 × 1,689.96
  4. Step 4: Simplify right side
    5,585.96x = 14,161,425.41
  5. Step 5: Solve for x
    x = 14,161,425.41/5,585.96
  6. Step 6: Final answer
    x = 2,535.18

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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.