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Finding the Fourth Proportional to 5,216.58, 7,205.22 and 3,804.75

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Solution

The fourth proportional to 5,216.58, 7,205.22 and 3,804.75 is: 5,255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.58 : 7,205.22 = 3,804.75 : x
  2. Step 2: Convert to fraction form
    5,216.58/7,205.22 = 3,804.75/x
  3. Step 3: Cross multiply
    5,216.58x = 7,205.22 × 3,804.75
  4. Step 4: Simplify right side
    5,216.58x = 27,414,060.80
  5. Step 5: Solve for x
    x = 27,414,060.80/5,216.58
  6. Step 6: Final answer
    x = 5,255.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.