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Finding the Fourth Proportional to 5,709.86, 7,880.50 and 3,472.44

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Solution

The fourth proportional to 5,709.86, 7,880.50 and 3,472.44 is: 4,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.86 : 7,880.50 = 3,472.44 : x
  2. Step 2: Convert to fraction form
    5,709.86/7,880.50 = 3,472.44/x
  3. Step 3: Cross multiply
    5,709.86x = 7,880.50 × 3,472.44
  4. Step 4: Simplify right side
    5,709.86x = 27,364,563.42
  5. Step 5: Solve for x
    x = 27,364,563.42/5,709.86
  6. Step 6: Final answer
    x = 4,792.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.