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Finding the Fourth Proportional to 5,767.56, 8,656.83 and 3,580.56

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Solution

The fourth proportional to 5,767.56, 8,656.83 and 3,580.56 is: 5,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.56 : 8,656.83 = 3,580.56 : x
  2. Step 2: Convert to fraction form
    5,767.56/8,656.83 = 3,580.56/x
  3. Step 3: Cross multiply
    5,767.56x = 8,656.83 × 3,580.56
  4. Step 4: Simplify right side
    5,767.56x = 30,996,299.22
  5. Step 5: Solve for x
    x = 30,996,299.22/5,767.56
  6. Step 6: Final answer
    x = 5,374.25

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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.