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Finding the Fourth Proportional to 5,794.86, 7,998 and 3,438.30

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Solution

The fourth proportional to 5,794.86, 7,998 and 3,438.30 is: 4,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.86 : 7,998 = 3,438.30 : x
  2. Step 2: Convert to fraction form
    5,794.86/7,998 = 3,438.30/x
  3. Step 3: Cross multiply
    5,794.86x = 7,998 × 3,438.30
  4. Step 4: Simplify right side
    5,794.86x = 27,499,523.40
  5. Step 5: Solve for x
    x = 27,499,523.40/5,794.86
  6. Step 6: Final answer
    x = 4,745.50

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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.