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Finding the Fourth Proportional to 6,692.96, 10,039.44 and 2,588

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Solution

The fourth proportional to 6,692.96, 10,039.44 and 2,588 is: 3,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.96 : 10,039.44 = 2,588 : x
  2. Step 2: Convert to fraction form
    6,692.96/10,039.44 = 2,588/x
  3. Step 3: Cross multiply
    6,692.96x = 10,039.44 × 2,588
  4. Step 4: Simplify right side
    6,692.96x = 25,982,070.72
  5. Step 5: Solve for x
    x = 25,982,070.72/6,692.96
  6. Step 6: Final answer
    x = 3,882.00

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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.