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Finding the Fourth Proportional to 5,172.54, 7,758.82 and 4,259.46

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Solution

The fourth proportional to 5,172.54, 7,758.82 and 4,259.46 is: 6,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.54 : 7,758.82 = 4,259.46 : x
  2. Step 2: Convert to fraction form
    5,172.54/7,758.82 = 4,259.46/x
  3. Step 3: Cross multiply
    5,172.54x = 7,758.82 × 4,259.46
  4. Step 4: Simplify right side
    5,172.54x = 33,048,383.44
  5. Step 5: Solve for x
    x = 33,048,383.44/5,172.54
  6. Step 6: Final answer
    x = 6,389.20

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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.