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Finding the Fourth Proportional to 5,531.97, 7,641.86 and 3,852.54

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Solution

The fourth proportional to 5,531.97, 7,641.86 and 3,852.54 is: 5,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.97 : 7,641.86 = 3,852.54 : x
  2. Step 2: Convert to fraction form
    5,531.97/7,641.86 = 3,852.54/x
  3. Step 3: Cross multiply
    5,531.97x = 7,641.86 × 3,852.54
  4. Step 4: Simplify right side
    5,531.97x = 29,440,571.32
  5. Step 5: Solve for x
    x = 29,440,571.32/5,531.97
  6. Step 6: Final answer
    x = 5,321.90

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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.