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Finding the Fourth Proportional to 5,589.57, 8,385.65 and 1,640.67

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Solution

The fourth proportional to 5,589.57, 8,385.65 and 1,640.67 is: 2,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.57 : 8,385.65 = 1,640.67 : x
  2. Step 2: Convert to fraction form
    5,589.57/8,385.65 = 1,640.67/x
  3. Step 3: Cross multiply
    5,589.57x = 8,385.65 × 1,640.67
  4. Step 4: Simplify right side
    5,589.57x = 13,758,084.39
  5. Step 5: Solve for x
    x = 13,758,084.39/5,589.57
  6. Step 6: Final answer
    x = 2,461.39

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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.