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Finding the Fourth Proportional to 5,797.52, 8,698.58 and 3,458.80

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Solution

The fourth proportional to 5,797.52, 8,698.58 and 3,458.80 is: 5,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.52 : 8,698.58 = 3,458.80 : x
  2. Step 2: Convert to fraction form
    5,797.52/8,698.58 = 3,458.80/x
  3. Step 3: Cross multiply
    5,797.52x = 8,698.58 × 3,458.80
  4. Step 4: Simplify right side
    5,797.52x = 30,086,648.50
  5. Step 5: Solve for x
    x = 30,086,648.50/5,797.52
  6. Step 6: Final answer
    x = 5,189.57

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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.