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Finding the Fourth Proportional to 5,795, 8,692.52 and 1,691

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Solution

The fourth proportional to 5,795, 8,692.52 and 1,691 is: 2,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795 : 8,692.52 = 1,691 : x
  2. Step 2: Convert to fraction form
    5,795/8,692.52 = 1,691/x
  3. Step 3: Cross multiply
    5,795x = 8,692.52 × 1,691
  4. Step 4: Simplify right side
    5,795x = 14,699,051.32
  5. Step 5: Solve for x
    x = 14,699,051.32/5,795
  6. Step 6: Final answer
    x = 2,536.51

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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.