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Finding the Fourth Proportional to 4,700.46, 6,484.91 and 2,812.09

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Solution

The fourth proportional to 4,700.46, 6,484.91 and 2,812.09 is: 3,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.46 : 6,484.91 = 2,812.09 : x
  2. Step 2: Convert to fraction form
    4,700.46/6,484.91 = 2,812.09/x
  3. Step 3: Cross multiply
    4,700.46x = 6,484.91 × 2,812.09
  4. Step 4: Simplify right side
    4,700.46x = 18,236,180.49
  5. Step 5: Solve for x
    x = 18,236,180.49/4,700.46
  6. Step 6: Final answer
    x = 3,879.66

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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.