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Finding the Fourth Proportional to 5,692.33, 7,856.38 and 4,204.56

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Solution

The fourth proportional to 5,692.33, 7,856.38 and 4,204.56 is: 5,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.33 : 7,856.38 = 4,204.56 : x
  2. Step 2: Convert to fraction form
    5,692.33/7,856.38 = 4,204.56/x
  3. Step 3: Cross multiply
    5,692.33x = 7,856.38 × 4,204.56
  4. Step 4: Simplify right side
    5,692.33x = 33,032,621.09
  5. Step 5: Solve for x
    x = 33,032,621.09/5,692.33
  6. Step 6: Final answer
    x = 5,803.01

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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.