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Finding the Fourth Proportional to 5,897.83, 8,127.57 and 5,512.37

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Solution

The fourth proportional to 5,897.83, 8,127.57 and 5,512.37 is: 7,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.83 : 8,127.57 = 5,512.37 : x
  2. Step 2: Convert to fraction form
    5,897.83/8,127.57 = 5,512.37/x
  3. Step 3: Cross multiply
    5,897.83x = 8,127.57 × 5,512.37
  4. Step 4: Simplify right side
    5,897.83x = 44,802,145.48
  5. Step 5: Solve for x
    x = 44,802,145.48/5,897.83
  6. Step 6: Final answer
    x = 7,596.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.