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Finding the Fourth Proportional to 4,199.79, 5,794.16 and 4,193.31

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Solution

The fourth proportional to 4,199.79, 5,794.16 and 4,193.31 is: 5,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.79 : 5,794.16 = 4,193.31 : x
  2. Step 2: Convert to fraction form
    4,199.79/5,794.16 = 4,193.31/x
  3. Step 3: Cross multiply
    4,199.79x = 5,794.16 × 4,193.31
  4. Step 4: Simplify right side
    4,199.79x = 24,296,688.10
  5. Step 5: Solve for x
    x = 24,296,688.10/4,199.79
  6. Step 6: Final answer
    x = 5,785.21

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1.5x scale

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.