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Finding the Fourth Proportional to 5,200.54, 7,799.96 and 1,737.78

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Solution

The fourth proportional to 5,200.54, 7,799.96 and 1,737.78 is: 2,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.54 : 7,799.96 = 1,737.78 : x
  2. Step 2: Convert to fraction form
    5,200.54/7,799.96 = 1,737.78/x
  3. Step 3: Cross multiply
    5,200.54x = 7,799.96 × 1,737.78
  4. Step 4: Simplify right side
    5,200.54x = 13,554,614.49
  5. Step 5: Solve for x
    x = 13,554,614.49/5,200.54
  6. Step 6: Final answer
    x = 2,606.39

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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.