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Finding the Fourth Proportional to 5,897.37, 8,843 and 1,736.84

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Solution

The fourth proportional to 5,897.37, 8,843 and 1,736.84 is: 2,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.37 : 8,843 = 1,736.84 : x
  2. Step 2: Convert to fraction form
    5,897.37/8,843 = 1,736.84/x
  3. Step 3: Cross multiply
    5,897.37x = 8,843 × 1,736.84
  4. Step 4: Simplify right side
    5,897.37x = 15,358,876.12
  5. Step 5: Solve for x
    x = 15,358,876.12/5,897.37
  6. Step 6: Final answer
    x = 2,604.36

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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.