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Finding the Fourth Proportional to 5,683.68, 8,506.56 and 4,174.56

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Solution

The fourth proportional to 5,683.68, 8,506.56 and 4,174.56 is: 6,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.68 : 8,506.56 = 4,174.56 : x
  2. Step 2: Convert to fraction form
    5,683.68/8,506.56 = 4,174.56/x
  3. Step 3: Cross multiply
    5,683.68x = 8,506.56 × 4,174.56
  4. Step 4: Simplify right side
    5,683.68x = 35,511,145.11
  5. Step 5: Solve for x
    x = 35,511,145.11/5,683.68
  6. Step 6: Final answer
    x = 6,247.91

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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.