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Finding the Fourth Proportional to 5,800.80, 7,989.12 and 5,692.80

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Solution

The fourth proportional to 5,800.80, 7,989.12 and 5,692.80 is: 7,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.80 : 7,989.12 = 5,692.80 : x
  2. Step 2: Convert to fraction form
    5,800.80/7,989.12 = 5,692.80/x
  3. Step 3: Cross multiply
    5,800.80x = 7,989.12 × 5,692.80
  4. Step 4: Simplify right side
    5,800.80x = 45,480,462.34
  5. Step 5: Solve for x
    x = 45,480,462.34/5,800.80
  6. Step 6: Final answer
    x = 7,840.38

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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.