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Finding the Fourth Proportional to 5,665.68, 8,506.56 and 3,205.32

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Solution

The fourth proportional to 5,665.68, 8,506.56 and 3,205.32 is: 4,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.68 : 8,506.56 = 3,205.32 : x
  2. Step 2: Convert to fraction form
    5,665.68/8,506.56 = 3,205.32/x
  3. Step 3: Cross multiply
    5,665.68x = 8,506.56 × 3,205.32
  4. Step 4: Simplify right side
    5,665.68x = 27,266,246.90
  5. Step 5: Solve for x
    x = 27,266,246.90/5,665.68
  6. Step 6: Final answer
    x = 4,812.53

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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.