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Finding the Fourth Proportional to 6,120.85, 8,451.53 and 4,702.30

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Solution

The fourth proportional to 6,120.85, 8,451.53 and 4,702.30 is: 6,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.85 : 8,451.53 = 4,702.30 : x
  2. Step 2: Convert to fraction form
    6,120.85/8,451.53 = 4,702.30/x
  3. Step 3: Cross multiply
    6,120.85x = 8,451.53 × 4,702.30
  4. Step 4: Simplify right side
    6,120.85x = 39,741,608.39
  5. Step 5: Solve for x
    x = 39,741,608.39/6,120.85
  6. Step 6: Final answer
    x = 6,492.83

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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.