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Finding the Fourth Proportional to 3,924.47, 5,888.15 and 3,692.63

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Solution

The fourth proportional to 3,924.47, 5,888.15 and 3,692.63 is: 5,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.47 : 5,888.15 = 3,692.63 : x
  2. Step 2: Convert to fraction form
    3,924.47/5,888.15 = 3,692.63/x
  3. Step 3: Cross multiply
    3,924.47x = 5,888.15 × 3,692.63
  4. Step 4: Simplify right side
    3,924.47x = 21,742,711.43
  5. Step 5: Solve for x
    x = 21,742,711.43/3,924.47
  6. Step 6: Final answer
    x = 5,540.30

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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.