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Finding the Fourth Proportional to 3,842.12, 5,759.74 and 1,501.58

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Solution

The fourth proportional to 3,842.12, 5,759.74 and 1,501.58 is: 2,251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.12 : 5,759.74 = 1,501.58 : x
  2. Step 2: Convert to fraction form
    3,842.12/5,759.74 = 1,501.58/x
  3. Step 3: Cross multiply
    3,842.12x = 5,759.74 × 1,501.58
  4. Step 4: Simplify right side
    3,842.12x = 8,648,710.39
  5. Step 5: Solve for x
    x = 8,648,710.39/3,842.12
  6. Step 6: Final answer
    x = 2,251.03

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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.