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Finding the Fourth Proportional to 5,200.81, 7,799.60 and 1,737.25

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Solution

The fourth proportional to 5,200.81, 7,799.60 and 1,737.25 is: 2,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.81 : 7,799.60 = 1,737.25 : x
  2. Step 2: Convert to fraction form
    5,200.81/7,799.60 = 1,737.25/x
  3. Step 3: Cross multiply
    5,200.81x = 7,799.60 × 1,737.25
  4. Step 4: Simplify right side
    5,200.81x = 13,549,846.41
  5. Step 5: Solve for x
    x = 13,549,846.41/5,200.81
  6. Step 6: Final answer
    x = 2,605.33

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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.