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Finding the Fourth Proportional to 3,692.88, 5,118.18 and 3,623.76

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Solution

The fourth proportional to 3,692.88, 5,118.18 and 3,623.76 is: 5,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.88 : 5,118.18 = 3,623.76 : x
  2. Step 2: Convert to fraction form
    3,692.88/5,118.18 = 3,623.76/x
  3. Step 3: Cross multiply
    3,692.88x = 5,118.18 × 3,623.76
  4. Step 4: Simplify right side
    3,692.88x = 18,547,055.96
  5. Step 5: Solve for x
    x = 18,547,055.96/3,692.88
  6. Step 6: Final answer
    x = 5,022.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.