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Finding the Fourth Proportional to 4,707.96, 6,497.01 and 2,612.09

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Solution

The fourth proportional to 4,707.96, 6,497.01 and 2,612.09 is: 3,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.96 : 6,497.01 = 2,612.09 : x
  2. Step 2: Convert to fraction form
    4,707.96/6,497.01 = 2,612.09/x
  3. Step 3: Cross multiply
    4,707.96x = 6,497.01 × 2,612.09
  4. Step 4: Simplify right side
    4,707.96x = 16,970,742.37
  5. Step 5: Solve for x
    x = 16,970,742.37/4,707.96
  6. Step 6: Final answer
    x = 3,604.69

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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.