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Finding the Fourth Proportional to 5,690.64, 8,537.66 and 2,919.27

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Solution

The fourth proportional to 5,690.64, 8,537.66 and 2,919.27 is: 4,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.64 : 8,537.66 = 2,919.27 : x
  2. Step 2: Convert to fraction form
    5,690.64/8,537.66 = 2,919.27/x
  3. Step 3: Cross multiply
    5,690.64x = 8,537.66 × 2,919.27
  4. Step 4: Simplify right side
    5,690.64x = 24,923,720.11
  5. Step 5: Solve for x
    x = 24,923,720.11/5,690.64
  6. Step 6: Final answer
    x = 4,379.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.