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Finding the Fourth Proportional to 3,973, 5,482.74 and 2,575.75

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Solution

The fourth proportional to 3,973, 5,482.74 and 2,575.75 is: 3,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973 : 5,482.74 = 2,575.75 : x
  2. Step 2: Convert to fraction form
    3,973/5,482.74 = 2,575.75/x
  3. Step 3: Cross multiply
    3,973x = 5,482.74 × 2,575.75
  4. Step 4: Simplify right side
    3,973x = 14,122,167.56
  5. Step 5: Solve for x
    x = 14,122,167.56/3,973
  6. Step 6: Final answer
    x = 3,554.54

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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.