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Finding the Fourth Proportional to 6,450.55, 8,897.10 and 3,932.77

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Solution

The fourth proportional to 6,450.55, 8,897.10 and 3,932.77 is: 5,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.55 : 8,897.10 = 3,932.77 : x
  2. Step 2: Convert to fraction form
    6,450.55/8,897.10 = 3,932.77/x
  3. Step 3: Cross multiply
    6,450.55x = 8,897.10 × 3,932.77
  4. Step 4: Simplify right side
    6,450.55x = 34,990,227.01
  5. Step 5: Solve for x
    x = 34,990,227.01/6,450.55
  6. Step 6: Final answer
    x = 5,424.38

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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.