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Finding the Fourth Proportional to 3,770.06, 5,653 and 1,692.05

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Solution

The fourth proportional to 3,770.06, 5,653 and 1,692.05 is: 2,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.06 : 5,653 = 1,692.05 : x
  2. Step 2: Convert to fraction form
    3,770.06/5,653 = 1,692.05/x
  3. Step 3: Cross multiply
    3,770.06x = 5,653 × 1,692.05
  4. Step 4: Simplify right side
    3,770.06x = 9,565,158.65
  5. Step 5: Solve for x
    x = 9,565,158.65/3,770.06
  6. Step 6: Final answer
    x = 2,537.14

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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.