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Finding the Fourth Proportional to 5,985.52, 8,977.20 and 2,698

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Solution

The fourth proportional to 5,985.52, 8,977.20 and 2,698 is: 4,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.52 : 8,977.20 = 2,698 : x
  2. Step 2: Convert to fraction form
    5,985.52/8,977.20 = 2,698/x
  3. Step 3: Cross multiply
    5,985.52x = 8,977.20 × 2,698
  4. Step 4: Simplify right side
    5,985.52x = 24,220,485.60
  5. Step 5: Solve for x
    x = 24,220,485.60/5,985.52
  6. Step 6: Final answer
    x = 4,046.51

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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.