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Finding the Fourth Proportional to 5,200.94, 7,799.87 and 1,503.20

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Solution

The fourth proportional to 5,200.94, 7,799.87 and 1,503.20 is: 2,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.94 : 7,799.87 = 1,503.20 : x
  2. Step 2: Convert to fraction form
    5,200.94/7,799.87 = 1,503.20/x
  3. Step 3: Cross multiply
    5,200.94x = 7,799.87 × 1,503.20
  4. Step 4: Simplify right side
    5,200.94x = 11,724,764.58
  5. Step 5: Solve for x
    x = 11,724,764.58/5,200.94
  6. Step 6: Final answer
    x = 2,254.35

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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.