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Finding the Fourth Proportional to 6,438.52, 8,886.27 and 3,644.02

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Solution

The fourth proportional to 6,438.52, 8,886.27 and 3,644.02 is: 5,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.52 : 8,886.27 = 3,644.02 : x
  2. Step 2: Convert to fraction form
    6,438.52/8,886.27 = 3,644.02/x
  3. Step 3: Cross multiply
    6,438.52x = 8,886.27 × 3,644.02
  4. Step 4: Simplify right side
    6,438.52x = 32,381,745.61
  5. Step 5: Solve for x
    x = 32,381,745.61/6,438.52
  6. Step 6: Final answer
    x = 5,029.38

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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.