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Finding the Fourth Proportional to 5,205.30, 7,795.80 and 5,100.90

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Solution

The fourth proportional to 5,205.30, 7,795.80 and 5,100.90 is: 7,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.30 : 7,795.80 = 5,100.90 : x
  2. Step 2: Convert to fraction form
    5,205.30/7,795.80 = 5,100.90/x
  3. Step 3: Cross multiply
    5,205.30x = 7,795.80 × 5,100.90
  4. Step 4: Simplify right side
    5,205.30x = 39,765,596.22
  5. Step 5: Solve for x
    x = 39,765,596.22/5,205.30
  6. Step 6: Final answer
    x = 7,639.44

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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.