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Finding the Fourth Proportional to 5,692.78, 8,543.58 and 3,950.02

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Solution

The fourth proportional to 5,692.78, 8,543.58 and 3,950.02 is: 5,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.78 : 8,543.58 = 3,950.02 : x
  2. Step 2: Convert to fraction form
    5,692.78/8,543.58 = 3,950.02/x
  3. Step 3: Cross multiply
    5,692.78x = 8,543.58 × 3,950.02
  4. Step 4: Simplify right side
    5,692.78x = 33,747,259.68
  5. Step 5: Solve for x
    x = 33,747,259.68/5,692.78
  6. Step 6: Final answer
    x = 5,928.08

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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.