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Finding the Fourth Proportional to 5,279.40, 7,920.54 and 1,769.99

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Solution

The fourth proportional to 5,279.40, 7,920.54 and 1,769.99 is: 2,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.40 : 7,920.54 = 1,769.99 : x
  2. Step 2: Convert to fraction form
    5,279.40/7,920.54 = 1,769.99/x
  3. Step 3: Cross multiply
    5,279.40x = 7,920.54 × 1,769.99
  4. Step 4: Simplify right side
    5,279.40x = 14,019,236.99
  5. Step 5: Solve for x
    x = 14,019,236.99/5,279.40
  6. Step 6: Final answer
    x = 2,655.46

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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.