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Finding the Fourth Proportional to 5,127.35, 7,692.84 and 1,664.60

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Solution

The fourth proportional to 5,127.35, 7,692.84 and 1,664.60 is: 2,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.35 : 7,692.84 = 1,664.60 : x
  2. Step 2: Convert to fraction form
    5,127.35/7,692.84 = 1,664.60/x
  3. Step 3: Cross multiply
    5,127.35x = 7,692.84 × 1,664.60
  4. Step 4: Simplify right side
    5,127.35x = 12,805,501.46
  5. Step 5: Solve for x
    x = 12,805,501.46/5,127.35
  6. Step 6: Final answer
    x = 2,497.49

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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.