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Finding the Fourth Proportional to 3,926.64, 5,888.70 and 1,735.32

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Solution

The fourth proportional to 3,926.64, 5,888.70 and 1,735.32 is: 2,602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.64 : 5,888.70 = 1,735.32 : x
  2. Step 2: Convert to fraction form
    3,926.64/5,888.70 = 1,735.32/x
  3. Step 3: Cross multiply
    3,926.64x = 5,888.70 × 1,735.32
  4. Step 4: Simplify right side
    3,926.64x = 10,218,778.88
  5. Step 5: Solve for x
    x = 10,218,778.88/3,926.64
  6. Step 6: Final answer
    x = 2,602.42

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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.