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Finding the Fourth Proportional to 5,135.84, 7,703.40 and 2,669.12

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Solution

The fourth proportional to 5,135.84, 7,703.40 and 2,669.12 is: 4,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.84 : 7,703.40 = 2,669.12 : x
  2. Step 2: Convert to fraction form
    5,135.84/7,703.40 = 2,669.12/x
  3. Step 3: Cross multiply
    5,135.84x = 7,703.40 × 2,669.12
  4. Step 4: Simplify right side
    5,135.84x = 20,561,299.01
  5. Step 5: Solve for x
    x = 20,561,299.01/5,135.84
  6. Step 6: Final answer
    x = 4,003.49

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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.