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Finding the Fourth Proportional to 4,612.64, 6,365.42 and 2,516.76

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Solution

The fourth proportional to 4,612.64, 6,365.42 and 2,516.76 is: 3,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.64 : 6,365.42 = 2,516.76 : x
  2. Step 2: Convert to fraction form
    4,612.64/6,365.42 = 2,516.76/x
  3. Step 3: Cross multiply
    4,612.64x = 6,365.42 × 2,516.76
  4. Step 4: Simplify right side
    4,612.64x = 16,020,234.44
  5. Step 5: Solve for x
    x = 16,020,234.44/4,612.64
  6. Step 6: Final answer
    x = 3,473.12

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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.