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Finding the Fourth Proportional to 5,047.80, 7,571.75 and 1,760.90

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Solution

The fourth proportional to 5,047.80, 7,571.75 and 1,760.90 is: 2,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.80 : 7,571.75 = 1,760.90 : x
  2. Step 2: Convert to fraction form
    5,047.80/7,571.75 = 1,760.90/x
  3. Step 3: Cross multiply
    5,047.80x = 7,571.75 × 1,760.90
  4. Step 4: Simplify right side
    5,047.80x = 13,333,094.58
  5. Step 5: Solve for x
    x = 13,333,094.58/5,047.80
  6. Step 6: Final answer
    x = 2,641.37

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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.