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Finding the Fourth Proportional to 3,883.41, 5,827.38 and 1,692.45

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Solution

The fourth proportional to 3,883.41, 5,827.38 and 1,692.45 is: 2,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.41 : 5,827.38 = 1,692.45 : x
  2. Step 2: Convert to fraction form
    3,883.41/5,827.38 = 1,692.45/x
  3. Step 3: Cross multiply
    3,883.41x = 5,827.38 × 1,692.45
  4. Step 4: Simplify right side
    3,883.41x = 9,862,549.28
  5. Step 5: Solve for x
    x = 9,862,549.28/3,883.41
  6. Step 6: Final answer
    x = 2,539.66

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1.5x scale

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.