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Finding the Fourth Proportional to 4,707.96, 6,493.32 and 3,451.56

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Solution

The fourth proportional to 4,707.96, 6,493.32 and 3,451.56 is: 4,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.96 : 6,493.32 = 3,451.56 : x
  2. Step 2: Convert to fraction form
    4,707.96/6,493.32 = 3,451.56/x
  3. Step 3: Cross multiply
    4,707.96x = 6,493.32 × 3,451.56
  4. Step 4: Simplify right side
    4,707.96x = 22,412,083.58
  5. Step 5: Solve for x
    x = 22,412,083.58/4,707.96
  6. Step 6: Final answer
    x = 4,760.47

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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.