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Finding the Fourth Proportional to 5,890.89, 8,835.90 and 1,731.22

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Solution

The fourth proportional to 5,890.89, 8,835.90 and 1,731.22 is: 2,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.89 : 8,835.90 = 1,731.22 : x
  2. Step 2: Convert to fraction form
    5,890.89/8,835.90 = 1,731.22/x
  3. Step 3: Cross multiply
    5,890.89x = 8,835.90 × 1,731.22
  4. Step 4: Simplify right side
    5,890.89x = 15,296,886.80
  5. Step 5: Solve for x
    x = 15,296,886.80/5,890.89
  6. Step 6: Final answer
    x = 2,596.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.