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Finding the Fourth Proportional to 4,861.22, 6,702.24 and 3,728.16

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Solution

The fourth proportional to 4,861.22, 6,702.24 and 3,728.16 is: 5,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.22 : 6,702.24 = 3,728.16 : x
  2. Step 2: Convert to fraction form
    4,861.22/6,702.24 = 3,728.16/x
  3. Step 3: Cross multiply
    4,861.22x = 6,702.24 × 3,728.16
  4. Step 4: Simplify right side
    4,861.22x = 24,987,037.06
  5. Step 5: Solve for x
    x = 24,987,037.06/4,861.22
  6. Step 6: Final answer
    x = 5,140.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.