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Finding the Fourth Proportional to 5,660.40, 7,794.87 and 5,299.40

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Solution

The fourth proportional to 5,660.40, 7,794.87 and 5,299.40 is: 7,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.40 : 7,794.87 = 5,299.40 : x
  2. Step 2: Convert to fraction form
    5,660.40/7,794.87 = 5,299.40/x
  3. Step 3: Cross multiply
    5,660.40x = 7,794.87 × 5,299.40
  4. Step 4: Simplify right side
    5,660.40x = 41,308,095.10
  5. Step 5: Solve for x
    x = 41,308,095.10/5,660.40
  6. Step 6: Final answer
    x = 7,297.73

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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.