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Finding the Fourth Proportional to 4,612.91, 6,883.65 and 4,120.67

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Solution

The fourth proportional to 4,612.91, 6,883.65 and 4,120.67 is: 6,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.91 : 6,883.65 = 4,120.67 : x
  2. Step 2: Convert to fraction form
    4,612.91/6,883.65 = 4,120.67/x
  3. Step 3: Cross multiply
    4,612.91x = 6,883.65 × 4,120.67
  4. Step 4: Simplify right side
    4,612.91x = 28,365,220.78
  5. Step 5: Solve for x
    x = 28,365,220.78/4,612.91
  6. Step 6: Final answer
    x = 6,149.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.