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Finding the Fourth Proportional to 5,128.33, 7,692.49 and 1,665.58

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Solution

The fourth proportional to 5,128.33, 7,692.49 and 1,665.58 is: 2,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.33 : 7,692.49 = 1,665.58 : x
  2. Step 2: Convert to fraction form
    5,128.33/7,692.49 = 1,665.58/x
  3. Step 3: Cross multiply
    5,128.33x = 7,692.49 × 1,665.58
  4. Step 4: Simplify right side
    5,128.33x = 12,812,419.03
  5. Step 5: Solve for x
    x = 12,812,419.03/5,128.33
  6. Step 6: Final answer
    x = 2,498.36

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1.5x scale

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.