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Finding the Fourth Proportional to 5,692.08, 8,540.76 and 2,406

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Solution

The fourth proportional to 5,692.08, 8,540.76 and 2,406 is: 3,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.08 : 8,540.76 = 2,406 : x
  2. Step 2: Convert to fraction form
    5,692.08/8,540.76 = 2,406/x
  3. Step 3: Cross multiply
    5,692.08x = 8,540.76 × 2,406
  4. Step 4: Simplify right side
    5,692.08x = 20,549,068.56
  5. Step 5: Solve for x
    x = 20,549,068.56/5,692.08
  6. Step 6: Final answer
    x = 3,610.12

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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.