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Finding the Fourth Proportional to 5,130.60, 7,692.69 and 2,167.51

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Solution

The fourth proportional to 5,130.60, 7,692.69 and 2,167.51 is: 3,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.60 : 7,692.69 = 2,167.51 : x
  2. Step 2: Convert to fraction form
    5,130.60/7,692.69 = 2,167.51/x
  3. Step 3: Cross multiply
    5,130.60x = 7,692.69 × 2,167.51
  4. Step 4: Simplify right side
    5,130.60x = 16,673,982.50
  5. Step 5: Solve for x
    x = 16,673,982.50/5,130.60
  6. Step 6: Final answer
    x = 3,249.91

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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.