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Finding the Fourth Proportional to 3,692.67, 5,538.06 and 1,095

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Solution

The fourth proportional to 3,692.67, 5,538.06 and 1,095 is: 1,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.67 : 5,538.06 = 1,095 : x
  2. Step 2: Convert to fraction form
    3,692.67/5,538.06 = 1,095/x
  3. Step 3: Cross multiply
    3,692.67x = 5,538.06 × 1,095
  4. Step 4: Simplify right side
    3,692.67x = 6,064,175.70
  5. Step 5: Solve for x
    x = 6,064,175.70/3,692.67
  6. Step 6: Final answer
    x = 1,642.22

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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.