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Finding the Fourth Proportional to 6,303.16, 8,702.22 and 4,180.54

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Solution

The fourth proportional to 6,303.16, 8,702.22 and 4,180.54 is: 5,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.16 : 8,702.22 = 4,180.54 : x
  2. Step 2: Convert to fraction form
    6,303.16/8,702.22 = 4,180.54/x
  3. Step 3: Cross multiply
    6,303.16x = 8,702.22 × 4,180.54
  4. Step 4: Simplify right side
    6,303.16x = 36,379,978.80
  5. Step 5: Solve for x
    x = 36,379,978.80/6,303.16
  6. Step 6: Final answer
    x = 5,771.70

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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.