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Finding the Fourth Proportional to 5,702.67, 8,558.10 and 2,416.68

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Solution

The fourth proportional to 5,702.67, 8,558.10 and 2,416.68 is: 3,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.67 : 8,558.10 = 2,416.68 : x
  2. Step 2: Convert to fraction form
    5,702.67/8,558.10 = 2,416.68/x
  3. Step 3: Cross multiply
    5,702.67x = 8,558.10 × 2,416.68
  4. Step 4: Simplify right side
    5,702.67x = 20,682,189.11
  5. Step 5: Solve for x
    x = 20,682,189.11/5,702.67
  6. Step 6: Final answer
    x = 3,626.76

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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.