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Finding the Fourth Proportional to 4,613.95, 6,922.14 and 1,692.28

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Solution

The fourth proportional to 4,613.95, 6,922.14 and 1,692.28 is: 2,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.95 : 6,922.14 = 1,692.28 : x
  2. Step 2: Convert to fraction form
    4,613.95/6,922.14 = 1,692.28/x
  3. Step 3: Cross multiply
    4,613.95x = 6,922.14 × 1,692.28
  4. Step 4: Simplify right side
    4,613.95x = 11,714,199.08
  5. Step 5: Solve for x
    x = 11,714,199.08/4,613.95
  6. Step 6: Final answer
    x = 2,538.87

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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.