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Finding the Fourth Proportional to 6,453.24, 8,905.82 and 4,857.02

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Solution

The fourth proportional to 6,453.24, 8,905.82 and 4,857.02 is: 6,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.24 : 8,905.82 = 4,857.02 : x
  2. Step 2: Convert to fraction form
    6,453.24/8,905.82 = 4,857.02/x
  3. Step 3: Cross multiply
    6,453.24x = 8,905.82 × 4,857.02
  4. Step 4: Simplify right side
    6,453.24x = 43,255,745.86
  5. Step 5: Solve for x
    x = 43,255,745.86/6,453.24
  6. Step 6: Final answer
    x = 6,702.95

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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.