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Finding the Fourth Proportional to 5,002.56, 6,906.48 and 3,432.96

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Solution

The fourth proportional to 5,002.56, 6,906.48 and 3,432.96 is: 4,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.56 : 6,906.48 = 3,432.96 : x
  2. Step 2: Convert to fraction form
    5,002.56/6,906.48 = 3,432.96/x
  3. Step 3: Cross multiply
    5,002.56x = 6,906.48 × 3,432.96
  4. Step 4: Simplify right side
    5,002.56x = 23,709,669.58
  5. Step 5: Solve for x
    x = 23,709,669.58/5,002.56
  6. Step 6: Final answer
    x = 4,739.51

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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.