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Finding the Fourth Proportional to 5,897.75, 8,845.40 and 1,736.88

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Solution

The fourth proportional to 5,897.75, 8,845.40 and 1,736.88 is: 2,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.75 : 8,845.40 = 1,736.88 : x
  2. Step 2: Convert to fraction form
    5,897.75/8,845.40 = 1,736.88/x
  3. Step 3: Cross multiply
    5,897.75x = 8,845.40 × 1,736.88
  4. Step 4: Simplify right side
    5,897.75x = 15,363,369.52
  5. Step 5: Solve for x
    x = 15,363,369.52/5,897.75
  6. Step 6: Final answer
    x = 2,604.96

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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.