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Finding the Fourth Proportional to 5,502, 7,588.02 and 3,402.48

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Solution

The fourth proportional to 5,502, 7,588.02 and 3,402.48 is: 4,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502 : 7,588.02 = 3,402.48 : x
  2. Step 2: Convert to fraction form
    5,502/7,588.02 = 3,402.48/x
  3. Step 3: Cross multiply
    5,502x = 7,588.02 × 3,402.48
  4. Step 4: Simplify right side
    5,502x = 25,818,086.29
  5. Step 5: Solve for x
    x = 25,818,086.29/5,502
  6. Step 6: Final answer
    x = 4,692.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.