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Finding the Fourth Proportional to 6,305.02, 8,702.46 and 3,652

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Solution

The fourth proportional to 6,305.02, 8,702.46 and 3,652 is: 5,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.02 : 8,702.46 = 3,652 : x
  2. Step 2: Convert to fraction form
    6,305.02/8,702.46 = 3,652/x
  3. Step 3: Cross multiply
    6,305.02x = 8,702.46 × 3,652
  4. Step 4: Simplify right side
    6,305.02x = 31,781,383.92
  5. Step 5: Solve for x
    x = 31,781,383.92/6,305.02
  6. Step 6: Final answer
    x = 5,040.65

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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.