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Finding the Fourth Proportional to 5,200.92, 7,801.20 and 1,503.36

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Solution

The fourth proportional to 5,200.92, 7,801.20 and 1,503.36 is: 2,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.92 : 7,801.20 = 1,503.36 : x
  2. Step 2: Convert to fraction form
    5,200.92/7,801.20 = 1,503.36/x
  3. Step 3: Cross multiply
    5,200.92x = 7,801.20 × 1,503.36
  4. Step 4: Simplify right side
    5,200.92x = 11,728,012.03
  5. Step 5: Solve for x
    x = 11,728,012.03/5,200.92
  6. Step 6: Final answer
    x = 2,254.99

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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.