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Finding the Fourth Proportional to 5,677.74, 7,836.56 and 3,160.75

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Solution

The fourth proportional to 5,677.74, 7,836.56 and 3,160.75 is: 4,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.74 : 7,836.56 = 3,160.75 : x
  2. Step 2: Convert to fraction form
    5,677.74/7,836.56 = 3,160.75/x
  3. Step 3: Cross multiply
    5,677.74x = 7,836.56 × 3,160.75
  4. Step 4: Simplify right side
    5,677.74x = 24,769,407.02
  5. Step 5: Solve for x
    x = 24,769,407.02/5,677.74
  6. Step 6: Final answer
    x = 4,362.55

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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.