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Finding the Fourth Proportional to 5,056.82, 7,585.50 and 1,936.26

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Solution

The fourth proportional to 5,056.82, 7,585.50 and 1,936.26 is: 2,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.82 : 7,585.50 = 1,936.26 : x
  2. Step 2: Convert to fraction form
    5,056.82/7,585.50 = 1,936.26/x
  3. Step 3: Cross multiply
    5,056.82x = 7,585.50 × 1,936.26
  4. Step 4: Simplify right side
    5,056.82x = 14,687,500.23
  5. Step 5: Solve for x
    x = 14,687,500.23/5,056.82
  6. Step 6: Final answer
    x = 2,904.49

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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.