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Finding the Fourth Proportional to 3,135.96, 4,711.14 and 2,698.56

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Solution

The fourth proportional to 3,135.96, 4,711.14 and 2,698.56 is: 4,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.96 : 4,711.14 = 2,698.56 : x
  2. Step 2: Convert to fraction form
    3,135.96/4,711.14 = 2,698.56/x
  3. Step 3: Cross multiply
    3,135.96x = 4,711.14 × 2,698.56
  4. Step 4: Simplify right side
    3,135.96x = 12,713,293.96
  5. Step 5: Solve for x
    x = 12,713,293.96/3,135.96
  6. Step 6: Final answer
    x = 4,054.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.