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Finding the Fourth Proportional to 5,692.60, 7,853.56 and 4,204.04

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Solution

The fourth proportional to 5,692.60, 7,853.56 and 4,204.04 is: 5,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.60 : 7,853.56 = 4,204.04 : x
  2. Step 2: Convert to fraction form
    5,692.60/7,853.56 = 4,204.04/x
  3. Step 3: Cross multiply
    5,692.60x = 7,853.56 × 4,204.04
  4. Step 4: Simplify right side
    5,692.60x = 33,016,680.38
  5. Step 5: Solve for x
    x = 33,016,680.38/5,692.60
  6. Step 6: Final answer
    x = 5,799.93

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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.