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Finding the Fourth Proportional to 5,792.57, 8,683.72 and 2,788.86

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Solution

The fourth proportional to 5,792.57, 8,683.72 and 2,788.86 is: 4,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.57 : 8,683.72 = 2,788.86 : x
  2. Step 2: Convert to fraction form
    5,792.57/8,683.72 = 2,788.86/x
  3. Step 3: Cross multiply
    5,792.57x = 8,683.72 × 2,788.86
  4. Step 4: Simplify right side
    5,792.57x = 24,217,679.36
  5. Step 5: Solve for x
    x = 24,217,679.36/5,792.57
  6. Step 6: Final answer
    x = 4,180.82

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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.